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Finding the Fourth Proportional to 361,480.40, 542,116.92 and 139,812.56

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Solution

The fourth proportional to 361,480.40, 542,116.92 and 139,812.56 is: 209,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,480.40 : 542,116.92 = 139,812.56 : x
  2. Step 2: Convert to fraction form
    361,480.40/542,116.92 = 139,812.56/x
  3. Step 3: Cross multiply
    361,480.40x = 542,116.92 × 139,812.56
  4. Step 4: Simplify right side
    361,480.40x = 75,794,754,404.52
  5. Step 5: Solve for x
    x = 75,794,754,404.52/361,480.40
  6. Step 6: Final answer
    x = 209,678.74

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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.