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Finding the Fourth Proportional to 177,431.80, 266,147.70 and 114,446.20

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Solution

The fourth proportional to 177,431.80, 266,147.70 and 114,446.20 is: 171,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,431.80 : 266,147.70 = 114,446.20 : x
  2. Step 2: Convert to fraction form
    177,431.80/266,147.70 = 114,446.20/x
  3. Step 3: Cross multiply
    177,431.80x = 266,147.70 × 114,446.20
  4. Step 4: Simplify right side
    177,431.80x = 30,459,592,903.74
  5. Step 5: Solve for x
    x = 30,459,592,903.74/177,431.80
  6. Step 6: Final answer
    x = 171,669.30

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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.