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Finding the Fourth Proportional to 268,139.80, 402,209.70 and 101,906.20

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Solution

The fourth proportional to 268,139.80, 402,209.70 and 101,906.20 is: 152,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,139.80 : 402,209.70 = 101,906.20 : x
  2. Step 2: Convert to fraction form
    268,139.80/402,209.70 = 101,906.20/x
  3. Step 3: Cross multiply
    268,139.80x = 402,209.70 × 101,906.20
  4. Step 4: Simplify right side
    268,139.80x = 40,987,662,130.14
  5. Step 5: Solve for x
    x = 40,987,662,130.14/268,139.80
  6. Step 6: Final answer
    x = 152,859.30

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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.