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Finding the Fourth Proportional to 177,499.20, 266,443.20 and 111,014.40

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Solution

The fourth proportional to 177,499.20, 266,443.20 and 111,014.40 is: 166,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,499.20 : 266,443.20 = 111,014.40 : x
  2. Step 2: Convert to fraction form
    177,499.20/266,443.20 = 111,014.40/x
  3. Step 3: Cross multiply
    177,499.20x = 266,443.20 × 111,014.40
  4. Step 4: Simplify right side
    177,499.20x = 29,579,031,982.08
  5. Step 5: Solve for x
    x = 29,579,031,982.08/177,499.20
  6. Step 6: Final answer
    x = 166,643.18

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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.