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Finding the Fourth Proportional to 102,216.50, 153,259.14 and 67,115.15

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Solution

The fourth proportional to 102,216.50, 153,259.14 and 67,115.15 is: 100,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.50 : 153,259.14 = 67,115.15 : x
  2. Step 2: Convert to fraction form
    102,216.50/153,259.14 = 67,115.15/x
  3. Step 3: Cross multiply
    102,216.50x = 153,259.14 × 67,115.15
  4. Step 4: Simplify right side
    102,216.50x = 10,286,010,804.80
  5. Step 5: Solve for x
    x = 10,286,010,804.80/102,216.50
  6. Step 6: Final answer
    x = 100,629.65

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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.