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Finding the Fourth Proportional to 103,851.80, 155,720.10 and 41,451.80

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Solution

The fourth proportional to 103,851.80, 155,720.10 and 41,451.80 is: 62,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851.80 : 155,720.10 = 41,451.80 : x
  2. Step 2: Convert to fraction form
    103,851.80/155,720.10 = 41,451.80/x
  3. Step 3: Cross multiply
    103,851.80x = 155,720.10 × 41,451.80
  4. Step 4: Simplify right side
    103,851.80x = 6,454,878,441.18
  5. Step 5: Solve for x
    x = 6,454,878,441.18/103,851.80
  6. Step 6: Final answer
    x = 62,154.71

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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.