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Finding the Fourth Proportional to 194,472.70, 291,709.05 and 105,999.10

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Solution

The fourth proportional to 194,472.70, 291,709.05 and 105,999.10 is: 158,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472.70 : 291,709.05 = 105,999.10 : x
  2. Step 2: Convert to fraction form
    194,472.70/291,709.05 = 105,999.10/x
  3. Step 3: Cross multiply
    194,472.70x = 291,709.05 × 105,999.10
  4. Step 4: Simplify right side
    194,472.70x = 30,920,896,761.86
  5. Step 5: Solve for x
    x = 30,920,896,761.86/194,472.70
  6. Step 6: Final answer
    x = 158,998.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.