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Finding the Fourth Proportional to 268,101.10, 402,151.33 and 68,421.48

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Solution

The fourth proportional to 268,101.10, 402,151.33 and 68,421.48 is: 102,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,101.10 : 402,151.33 = 68,421.48 : x
  2. Step 2: Convert to fraction form
    268,101.10/402,151.33 = 68,421.48/x
  3. Step 3: Cross multiply
    268,101.10x = 402,151.33 × 68,421.48
  4. Step 4: Simplify right side
    268,101.10x = 27,515,789,182.57
  5. Step 5: Solve for x
    x = 27,515,789,182.57/268,101.10
  6. Step 6: Final answer
    x = 102,632.14

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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.