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Finding the Fourth Proportional to 177,333.60, 266,077.20 and 83,791.20

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Solution

The fourth proportional to 177,333.60, 266,077.20 and 83,791.20 is: 125,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333.60 : 266,077.20 = 83,791.20 : x
  2. Step 2: Convert to fraction form
    177,333.60/266,077.20 = 83,791.20/x
  3. Step 3: Cross multiply
    177,333.60x = 266,077.20 × 83,791.20
  4. Step 4: Simplify right side
    177,333.60x = 22,294,927,880.64
  5. Step 5: Solve for x
    x = 22,294,927,880.64/177,333.60
  6. Step 6: Final answer
    x = 125,723.09

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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.