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Finding the Fourth Proportional to 268,272.80, 402,409.20 and 135,101.60

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Solution

The fourth proportional to 268,272.80, 402,409.20 and 135,101.60 is: 202,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272.80 : 402,409.20 = 135,101.60 : x
  2. Step 2: Convert to fraction form
    268,272.80/402,409.20 = 135,101.60/x
  3. Step 3: Cross multiply
    268,272.80x = 402,409.20 × 135,101.60
  4. Step 4: Simplify right side
    268,272.80x = 54,366,126,774.72
  5. Step 5: Solve for x
    x = 54,366,126,774.72/268,272.80
  6. Step 6: Final answer
    x = 202,652.40

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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.