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Finding the Fourth Proportional to 177,538.60, 266,423.10 and 102,658.60

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Solution

The fourth proportional to 177,538.60, 266,423.10 and 102,658.60 is: 154,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,538.60 : 266,423.10 = 102,658.60 : x
  2. Step 2: Convert to fraction form
    177,538.60/266,423.10 = 102,658.60/x
  3. Step 3: Cross multiply
    177,538.60x = 266,423.10 × 102,658.60
  4. Step 4: Simplify right side
    177,538.60x = 27,350,622,453.66
  5. Step 5: Solve for x
    x = 27,350,622,453.66/177,538.60
  6. Step 6: Final answer
    x = 154,054.51

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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.