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Finding the Fourth Proportional to 243,414.30, 365,121.45 and 138,438.30

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Solution

The fourth proportional to 243,414.30, 365,121.45 and 138,438.30 is: 207,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,414.30 : 365,121.45 = 138,438.30 : x
  2. Step 2: Convert to fraction form
    243,414.30/365,121.45 = 138,438.30/x
  3. Step 3: Cross multiply
    243,414.30x = 365,121.45 × 138,438.30
  4. Step 4: Simplify right side
    243,414.30x = 50,546,792,831.54
  5. Step 5: Solve for x
    x = 50,546,792,831.54/243,414.30
  6. Step 6: Final answer
    x = 207,657.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.