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Finding the Fourth Proportional to 162,787.40, 224,635.92 and 91,151

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Solution

The fourth proportional to 162,787.40, 224,635.92 and 91,151 is: 125,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,787.40 : 224,635.92 = 91,151 : x
  2. Step 2: Convert to fraction form
    162,787.40/224,635.92 = 91,151/x
  3. Step 3: Cross multiply
    162,787.40x = 224,635.92 × 91,151
  4. Step 4: Simplify right side
    162,787.40x = 20,475,788,743.92
  5. Step 5: Solve for x
    x = 20,475,788,743.92/162,787.40
  6. Step 6: Final answer
    x = 125,782.39

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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.