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Finding the Fourth Proportional to 137,158.52, 189,285.89 and 76,730.17

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Solution

The fourth proportional to 137,158.52, 189,285.89 and 76,730.17 is: 105,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.52 : 189,285.89 = 76,730.17 : x
  2. Step 2: Convert to fraction form
    137,158.52/189,285.89 = 76,730.17/x
  3. Step 3: Cross multiply
    137,158.52x = 189,285.89 × 76,730.17
  4. Step 4: Simplify right side
    137,158.52x = 14,523,938,518.30
  5. Step 5: Solve for x
    x = 14,523,938,518.30/137,158.52
  6. Step 6: Final answer
    x = 105,891.62

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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.