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Finding the Fourth Proportional to 138,220.32, 207,316.80 and 49,470.24

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Solution

The fourth proportional to 138,220.32, 207,316.80 and 49,470.24 is: 74,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,220.32 : 207,316.80 = 49,470.24 : x
  2. Step 2: Convert to fraction form
    138,220.32/207,316.80 = 49,470.24/x
  3. Step 3: Cross multiply
    138,220.32x = 207,316.80 × 49,470.24
  4. Step 4: Simplify right side
    138,220.32x = 10,256,011,852.03
  5. Step 5: Solve for x
    x = 10,256,011,852.03/138,220.32
  6. Step 6: Final answer
    x = 74,200.46

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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.