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Finding the Fourth Proportional to 138,057.02, 207,085.84 and 38,217.50

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Solution

The fourth proportional to 138,057.02, 207,085.84 and 38,217.50 is: 57,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.02 : 207,085.84 = 38,217.50 : x
  2. Step 2: Convert to fraction form
    138,057.02/207,085.84 = 38,217.50/x
  3. Step 3: Cross multiply
    138,057.02x = 207,085.84 × 38,217.50
  4. Step 4: Simplify right side
    138,057.02x = 7,914,303,090.20
  5. Step 5: Solve for x
    x = 7,914,303,090.20/138,057.02
  6. Step 6: Final answer
    x = 57,326.34

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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.