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Finding the Fourth Proportional to 101,891.80, 152,837.70 and 75,647.80

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Solution

The fourth proportional to 101,891.80, 152,837.70 and 75,647.80 is: 113,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891.80 : 152,837.70 = 75,647.80 : x
  2. Step 2: Convert to fraction form
    101,891.80/152,837.70 = 75,647.80/x
  3. Step 3: Cross multiply
    101,891.80x = 152,837.70 × 75,647.80
  4. Step 4: Simplify right side
    101,891.80x = 11,561,835,762.06
  5. Step 5: Solve for x
    x = 11,561,835,762.06/101,891.80
  6. Step 6: Final answer
    x = 113,471.70

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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.