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Finding the Fourth Proportional to 138,938.50, 207,836.87 and 110,913.30

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Solution

The fourth proportional to 138,938.50, 207,836.87 and 110,913.30 is: 165,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,938.50 : 207,836.87 = 110,913.30 : x
  2. Step 2: Convert to fraction form
    138,938.50/207,836.87 = 110,913.30/x
  3. Step 3: Cross multiply
    138,938.50x = 207,836.87 × 110,913.30
  4. Step 4: Simplify right side
    138,938.50x = 23,051,872,558.80
  5. Step 5: Solve for x
    x = 23,051,872,558.80/138,938.50
  6. Step 6: Final answer
    x = 165,914.22

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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.