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Finding the Fourth Proportional to 268,385.20, 402,232.20 and 127,841.20

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Solution

The fourth proportional to 268,385.20, 402,232.20 and 127,841.20 is: 191,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,385.20 : 402,232.20 = 127,841.20 : x
  2. Step 2: Convert to fraction form
    268,385.20/402,232.20 = 127,841.20/x
  3. Step 3: Cross multiply
    268,385.20x = 402,232.20 × 127,841.20
  4. Step 4: Simplify right side
    268,385.20x = 51,421,847,126.64
  5. Step 5: Solve for x
    x = 51,421,847,126.64/268,385.20
  6. Step 6: Final answer
    x = 191,597.18

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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.