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Finding the Fourth Proportional to 103,348.20, 155,022.30 and 101,965.80

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Solution

The fourth proportional to 103,348.20, 155,022.30 and 101,965.80 is: 152,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,348.20 : 155,022.30 = 101,965.80 : x
  2. Step 2: Convert to fraction form
    103,348.20/155,022.30 = 101,965.80/x
  3. Step 3: Cross multiply
    103,348.20x = 155,022.30 × 101,965.80
  4. Step 4: Simplify right side
    103,348.20x = 15,806,972,837.34
  5. Step 5: Solve for x
    x = 15,806,972,837.34/103,348.20
  6. Step 6: Final answer
    x = 152,948.70

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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.