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Finding the Fourth Proportional to 272,177.64, 408,315.42 and 112,164.48

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Solution

The fourth proportional to 272,177.64, 408,315.42 and 112,164.48 is: 168,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,177.64 : 408,315.42 = 112,164.48 : x
  2. Step 2: Convert to fraction form
    272,177.64/408,315.42 = 112,164.48/x
  3. Step 3: Cross multiply
    272,177.64x = 408,315.42 × 112,164.48
  4. Step 4: Simplify right side
    272,177.64x = 45,798,486,760.28
  5. Step 5: Solve for x
    x = 45,798,486,760.28/272,177.64
  6. Step 6: Final answer
    x = 168,266.90

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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.