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Finding the Fourth Proportional to 101,087.20, 151,412.10 and 65,657.80

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Solution

The fourth proportional to 101,087.20, 151,412.10 and 65,657.80 is: 98,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,087.20 : 151,412.10 = 65,657.80 : x
  2. Step 2: Convert to fraction form
    101,087.20/151,412.10 = 65,657.80/x
  3. Step 3: Cross multiply
    101,087.20x = 151,412.10 × 65,657.80
  4. Step 4: Simplify right side
    101,087.20x = 9,941,385,379.38
  5. Step 5: Solve for x
    x = 9,941,385,379.38/101,087.20
  6. Step 6: Final answer
    x = 98,344.65

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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.