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Finding the Fourth Proportional to 185,600.10, 278,400.15 and 138,360.90

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Solution

The fourth proportional to 185,600.10, 278,400.15 and 138,360.90 is: 207,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,600.10 : 278,400.15 = 138,360.90 : x
  2. Step 2: Convert to fraction form
    185,600.10/278,400.15 = 138,360.90/x
  3. Step 3: Cross multiply
    185,600.10x = 278,400.15 × 138,360.90
  4. Step 4: Simplify right side
    185,600.10x = 38,519,695,314.14
  5. Step 5: Solve for x
    x = 38,519,695,314.14/185,600.10
  6. Step 6: Final answer
    x = 207,541.35

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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.