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Finding the Fourth Proportional to 177,537.60, 266,421.60 and 102,657.60

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Solution

The fourth proportional to 177,537.60, 266,421.60 and 102,657.60 is: 154,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,537.60 : 266,421.60 = 102,657.60 : x
  2. Step 2: Convert to fraction form
    177,537.60/266,421.60 = 102,657.60/x
  3. Step 3: Cross multiply
    177,537.60x = 266,421.60 × 102,657.60
  4. Step 4: Simplify right side
    177,537.60x = 27,350,202,044.16
  5. Step 5: Solve for x
    x = 27,350,202,044.16/177,537.60
  6. Step 6: Final answer
    x = 154,053.01

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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.