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Finding the Fourth Proportional to 202,468, 279,423.12 and 113,061.28

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Solution

The fourth proportional to 202,468, 279,423.12 and 113,061.28 is: 156,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468 : 279,423.12 = 113,061.28 : x
  2. Step 2: Convert to fraction form
    202,468/279,423.12 = 113,061.28/x
  3. Step 3: Cross multiply
    202,468x = 279,423.12 × 113,061.28
  4. Step 4: Simplify right side
    202,468x = 31,591,935,608.79
  5. Step 5: Solve for x
    x = 31,591,935,608.79/202,468
  6. Step 6: Final answer
    x = 156,034.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.