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Finding the Fourth Proportional to 437,616.80, 656,425.20 and 142,128.80

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Solution

The fourth proportional to 437,616.80, 656,425.20 and 142,128.80 is: 213,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,616.80 : 656,425.20 = 142,128.80 : x
  2. Step 2: Convert to fraction form
    437,616.80/656,425.20 = 142,128.80/x
  3. Step 3: Cross multiply
    437,616.80x = 656,425.20 × 142,128.80
  4. Step 4: Simplify right side
    437,616.80x = 93,296,925,965.76
  5. Step 5: Solve for x
    x = 93,296,925,965.76/437,616.80
  6. Step 6: Final answer
    x = 213,193.20

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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.