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Finding the Fourth Proportional to 137,141.16, 189,272.28 and 76,715.16

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Solution

The fourth proportional to 137,141.16, 189,272.28 and 76,715.16 is: 105,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.16 : 189,272.28 = 76,715.16 : x
  2. Step 2: Convert to fraction form
    137,141.16/189,272.28 = 76,715.16/x
  3. Step 3: Cross multiply
    137,141.16x = 189,272.28 × 76,715.16
  4. Step 4: Simplify right side
    137,141.16x = 14,520,053,243.76
  5. Step 5: Solve for x
    x = 14,520,053,243.76/137,141.16
  6. Step 6: Final answer
    x = 105,876.70

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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.