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Finding the Fourth Proportional to 138,318.70, 207,478.05 and 85,830.70

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Solution

The fourth proportional to 138,318.70, 207,478.05 and 85,830.70 is: 128,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318.70 : 207,478.05 = 85,830.70 : x
  2. Step 2: Convert to fraction form
    138,318.70/207,478.05 = 85,830.70/x
  3. Step 3: Cross multiply
    138,318.70x = 207,478.05 × 85,830.70
  4. Step 4: Simplify right side
    138,318.70x = 17,807,986,266.14
  5. Step 5: Solve for x
    x = 17,807,986,266.14/138,318.70
  6. Step 6: Final answer
    x = 128,746.05

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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.