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Finding the Fourth Proportional to 137,287.50, 189,459.91 and 76,856.62

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Solution

The fourth proportional to 137,287.50, 189,459.91 and 76,856.62 is: 106,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,287.50 : 189,459.91 = 76,856.62 : x
  2. Step 2: Convert to fraction form
    137,287.50/189,459.91 = 76,856.62/x
  3. Step 3: Cross multiply
    137,287.50x = 189,459.91 × 76,856.62
  4. Step 4: Simplify right side
    137,287.50x = 14,561,248,308.10
  5. Step 5: Solve for x
    x = 14,561,248,308.10/137,287.50
  6. Step 6: Final answer
    x = 106,063.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.