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Finding the Fourth Proportional to 194,473.20, 291,709.80 and 105,999.60

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Solution

The fourth proportional to 194,473.20, 291,709.80 and 105,999.60 is: 158,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473.20 : 291,709.80 = 105,999.60 : x
  2. Step 2: Convert to fraction form
    194,473.20/291,709.80 = 105,999.60/x
  3. Step 3: Cross multiply
    194,473.20x = 291,709.80 × 105,999.60
  4. Step 4: Simplify right side
    194,473.20x = 30,921,122,116.08
  5. Step 5: Solve for x
    x = 30,921,122,116.08/194,473.20
  6. Step 6: Final answer
    x = 158,999.40

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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.