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Finding the Fourth Proportional to 180,782.92, 271,086.88 and 62,412.76

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Solution

The fourth proportional to 180,782.92, 271,086.88 and 62,412.76 is: 93,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,782.92 : 271,086.88 = 62,412.76 : x
  2. Step 2: Convert to fraction form
    180,782.92/271,086.88 = 62,412.76/x
  3. Step 3: Cross multiply
    180,782.92x = 271,086.88 × 62,412.76
  4. Step 4: Simplify right side
    180,782.92x = 16,919,280,380.59
  5. Step 5: Solve for x
    x = 16,919,280,380.59/180,782.92
  6. Step 6: Final answer
    x = 93,588.93

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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.