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Finding the Fourth Proportional to 180,784.92, 271,089.88 and 62,414.76

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Solution

The fourth proportional to 180,784.92, 271,089.88 and 62,414.76 is: 93,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784.92 : 271,089.88 = 62,414.76 : x
  2. Step 2: Convert to fraction form
    180,784.92/271,089.88 = 62,414.76/x
  3. Step 3: Cross multiply
    180,784.92x = 271,089.88 × 62,414.76
  4. Step 4: Simplify right side
    180,784.92x = 16,920,009,798.63
  5. Step 5: Solve for x
    x = 16,920,009,798.63/180,784.92
  6. Step 6: Final answer
    x = 93,591.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.