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Finding the Fourth Proportional to 243,779.13, 365,645.10 and 75,254.04

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Solution

The fourth proportional to 243,779.13, 365,645.10 and 75,254.04 is: 112,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,779.13 : 365,645.10 = 75,254.04 : x
  2. Step 2: Convert to fraction form
    243,779.13/365,645.10 = 75,254.04/x
  3. Step 3: Cross multiply
    243,779.13x = 365,645.10 × 75,254.04
  4. Step 4: Simplify right side
    243,779.13x = 27,516,270,981.20
  5. Step 5: Solve for x
    x = 27,516,270,981.20/243,779.13
  6. Step 6: Final answer
    x = 112,873.78

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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.