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Finding the Fourth Proportional to 103,716.80, 155,344.80 and 85,284.80

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Solution

The fourth proportional to 103,716.80, 155,344.80 and 85,284.80 is: 127,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,716.80 : 155,344.80 = 85,284.80 : x
  2. Step 2: Convert to fraction form
    103,716.80/155,344.80 = 85,284.80/x
  3. Step 3: Cross multiply
    103,716.80x = 155,344.80 × 85,284.80
  4. Step 4: Simplify right side
    103,716.80x = 13,248,550,199.04
  5. Step 5: Solve for x
    x = 13,248,550,199.04/103,716.80
  6. Step 6: Final answer
    x = 127,737.75

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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.