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Finding the Fourth Proportional to 177,882.60, 266,167.80 and 162,136.20

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Solution

The fourth proportional to 177,882.60, 266,167.80 and 162,136.20 is: 242,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,882.60 : 266,167.80 = 162,136.20 : x
  2. Step 2: Convert to fraction form
    177,882.60/266,167.80 = 162,136.20/x
  3. Step 3: Cross multiply
    177,882.60x = 266,167.80 × 162,136.20
  4. Step 4: Simplify right side
    177,882.60x = 43,155,435,654.36
  5. Step 5: Solve for x
    x = 43,155,435,654.36/177,882.60
  6. Step 6: Final answer
    x = 242,606.28

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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.