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Finding the Fourth Proportional to 268,124.96, 402,239.28 and 101,900

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Solution

The fourth proportional to 268,124.96, 402,239.28 and 101,900 is: 152,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,124.96 : 402,239.28 = 101,900 : x
  2. Step 2: Convert to fraction form
    268,124.96/402,239.28 = 101,900/x
  3. Step 3: Cross multiply
    268,124.96x = 402,239.28 × 101,900
  4. Step 4: Simplify right side
    268,124.96x = 40,988,182,632
  5. Step 5: Solve for x
    x = 40,988,182,632/268,124.96
  6. Step 6: Final answer
    x = 152,869.70

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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.