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Finding the Fourth Proportional to 103,758, 155,387.60 and 59,250

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Solution

The fourth proportional to 103,758, 155,387.60 and 59,250 is: 88,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,758 : 155,387.60 = 59,250 : x
  2. Step 2: Convert to fraction form
    103,758/155,387.60 = 59,250/x
  3. Step 3: Cross multiply
    103,758x = 155,387.60 × 59,250
  4. Step 4: Simplify right side
    103,758x = 9,206,715,300
  5. Step 5: Solve for x
    x = 9,206,715,300/103,758
  6. Step 6: Final answer
    x = 88,732.58

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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.