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Finding the Fourth Proportional to 268,126.96, 402,242.28 and 101,902

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Solution

The fourth proportional to 268,126.96, 402,242.28 and 101,902 is: 152,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,126.96 : 402,242.28 = 101,902 : x
  2. Step 2: Convert to fraction form
    268,126.96/402,242.28 = 101,902/x
  3. Step 3: Cross multiply
    268,126.96x = 402,242.28 × 101,902
  4. Step 4: Simplify right side
    268,126.96x = 40,989,292,816.56
  5. Step 5: Solve for x
    x = 40,989,292,816.56/268,126.96
  6. Step 6: Final answer
    x = 152,872.70

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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.