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Finding the Fourth Proportional to 156,008.80, 234,013.20 and 77,135.20

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Solution

The fourth proportional to 156,008.80, 234,013.20 and 77,135.20 is: 115,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008.80 : 234,013.20 = 77,135.20 : x
  2. Step 2: Convert to fraction form
    156,008.80/234,013.20 = 77,135.20/x
  3. Step 3: Cross multiply
    156,008.80x = 234,013.20 × 77,135.20
  4. Step 4: Simplify right side
    156,008.80x = 18,050,654,984.64
  5. Step 5: Solve for x
    x = 18,050,654,984.64/156,008.80
  6. Step 6: Final answer
    x = 115,702.80

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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.