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Finding the Fourth Proportional to 119,188.73, 164,411.72 and 71,414.40

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Solution

The fourth proportional to 119,188.73, 164,411.72 and 71,414.40 is: 98,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188.73 : 164,411.72 = 71,414.40 : x
  2. Step 2: Convert to fraction form
    119,188.73/164,411.72 = 71,414.40/x
  3. Step 3: Cross multiply
    119,188.73x = 164,411.72 × 71,414.40
  4. Step 4: Simplify right side
    119,188.73x = 11,741,364,336.77
  5. Step 5: Solve for x
    x = 11,741,364,336.77/119,188.73
  6. Step 6: Final answer
    x = 98,510.69

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Why These Related Problems?

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