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Finding the Fourth Proportional to 177,357.60, 266,113.20 and 83,815.20

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Solution

The fourth proportional to 177,357.60, 266,113.20 and 83,815.20 is: 125,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,357.60 : 266,113.20 = 83,815.20 : x
  2. Step 2: Convert to fraction form
    177,357.60/266,113.20 = 83,815.20/x
  3. Step 3: Cross multiply
    177,357.60x = 266,113.20 × 83,815.20
  4. Step 4: Simplify right side
    177,357.60x = 22,304,331,080.64
  5. Step 5: Solve for x
    x = 22,304,331,080.64/177,357.60
  6. Step 6: Final answer
    x = 125,759.09

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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.