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Finding the Fourth Proportional to 137,042.40, 189,117.65 and 76,612.76

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Solution

The fourth proportional to 137,042.40, 189,117.65 and 76,612.76 is: 105,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.40 : 189,117.65 = 76,612.76 : x
  2. Step 2: Convert to fraction form
    137,042.40/189,117.65 = 76,612.76/x
  3. Step 3: Cross multiply
    137,042.40x = 189,117.65 × 76,612.76
  4. Step 4: Simplify right side
    137,042.40x = 14,488,825,131.21
  5. Step 5: Solve for x
    x = 14,488,825,131.21/137,042.40
  6. Step 6: Final answer
    x = 105,725.13

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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.