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Finding the Fourth Proportional to 177,309.20, 266,158.20 and 110,824.40

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Solution

The fourth proportional to 177,309.20, 266,158.20 and 110,824.40 is: 166,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,309.20 : 266,158.20 = 110,824.40 : x
  2. Step 2: Convert to fraction form
    177,309.20/266,158.20 = 110,824.40/x
  3. Step 3: Cross multiply
    177,309.20x = 266,158.20 × 110,824.40
  4. Step 4: Simplify right side
    177,309.20x = 29,496,822,820.08
  5. Step 5: Solve for x
    x = 29,496,822,820.08/177,309.20
  6. Step 6: Final answer
    x = 166,358.11

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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.