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Finding the Fourth Proportional to 137,030.10, 189,104.92 and 76,610.78

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Solution

The fourth proportional to 137,030.10, 189,104.92 and 76,610.78 is: 105,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,030.10 : 189,104.92 = 76,610.78 : x
  2. Step 2: Convert to fraction form
    137,030.10/189,104.92 = 76,610.78/x
  3. Step 3: Cross multiply
    137,030.10x = 189,104.92 × 76,610.78
  4. Step 4: Simplify right side
    137,030.10x = 14,487,475,423.04
  5. Step 5: Solve for x
    x = 14,487,475,423.04/137,030.10
  6. Step 6: Final answer
    x = 105,724.77

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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.