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Finding the Fourth Proportional to 194,552.70, 291,829.05 and 54,311.10

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Solution

The fourth proportional to 194,552.70, 291,829.05 and 54,311.10 is: 81,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,552.70 : 291,829.05 = 54,311.10 : x
  2. Step 2: Convert to fraction form
    194,552.70/291,829.05 = 54,311.10/x
  3. Step 3: Cross multiply
    194,552.70x = 291,829.05 × 54,311.10
  4. Step 4: Simplify right side
    194,552.70x = 15,849,556,717.46
  5. Step 5: Solve for x
    x = 15,849,556,717.46/194,552.70
  6. Step 6: Final answer
    x = 81,466.65

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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.