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Finding the Fourth Proportional to 156,070.80, 233,587.80 and 109,414.80

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Solution

The fourth proportional to 156,070.80, 233,587.80 and 109,414.80 is: 163,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,070.80 : 233,587.80 = 109,414.80 : x
  2. Step 2: Convert to fraction form
    156,070.80/233,587.80 = 109,414.80/x
  3. Step 3: Cross multiply
    156,070.80x = 233,587.80 × 109,414.80
  4. Step 4: Simplify right side
    156,070.80x = 25,557,962,419.44
  5. Step 5: Solve for x
    x = 25,557,962,419.44/156,070.80
  6. Step 6: Final answer
    x = 163,758.77

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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.