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Finding the Fourth Proportional to 138,730.14, 208,168.11 and 75,595.50

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Solution

The fourth proportional to 138,730.14, 208,168.11 and 75,595.50 is: 113,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,730.14 : 208,168.11 = 75,595.50 : x
  2. Step 2: Convert to fraction form
    138,730.14/208,168.11 = 75,595.50/x
  3. Step 3: Cross multiply
    138,730.14x = 208,168.11 × 75,595.50
  4. Step 4: Simplify right side
    138,730.14x = 15,736,572,359.51
  5. Step 5: Solve for x
    x = 15,736,572,359.51/138,730.14
  6. Step 6: Final answer
    x = 113,432.97

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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.