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Finding the Fourth Proportional to 177,354.10, 266,031.15 and 110,869.30

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Solution

The fourth proportional to 177,354.10, 266,031.15 and 110,869.30 is: 166,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,354.10 : 266,031.15 = 110,869.30 : x
  2. Step 2: Convert to fraction form
    177,354.10/266,031.15 = 110,869.30/x
  3. Step 3: Cross multiply
    177,354.10x = 266,031.15 × 110,869.30
  4. Step 4: Simplify right side
    177,354.10x = 29,494,687,378.70
  5. Step 5: Solve for x
    x = 29,494,687,378.70/177,354.10
  6. Step 6: Final answer
    x = 166,303.95

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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.