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Finding the Fourth Proportional to 138,055.02, 207,082.83 and 38,215.50

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Solution

The fourth proportional to 138,055.02, 207,082.83 and 38,215.50 is: 57,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,055.02 : 207,082.83 = 38,215.50 : x
  2. Step 2: Convert to fraction form
    138,055.02/207,082.83 = 38,215.50/x
  3. Step 3: Cross multiply
    138,055.02x = 207,082.83 × 38,215.50
  4. Step 4: Simplify right side
    138,055.02x = 7,913,773,889.87
  5. Step 5: Solve for x
    x = 7,913,773,889.87/138,055.02
  6. Step 6: Final answer
    x = 57,323.33

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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.