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Finding the Fourth Proportional to 177,359.60, 266,116.20 and 83,817.20

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Solution

The fourth proportional to 177,359.60, 266,116.20 and 83,817.20 is: 125,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,359.60 : 266,116.20 = 83,817.20 : x
  2. Step 2: Convert to fraction form
    177,359.60/266,116.20 = 83,817.20/x
  3. Step 3: Cross multiply
    177,359.60x = 266,116.20 × 83,817.20
  4. Step 4: Simplify right side
    177,359.60x = 22,305,114,758.64
  5. Step 5: Solve for x
    x = 22,305,114,758.64/177,359.60
  6. Step 6: Final answer
    x = 125,762.09

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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.