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Finding the Fourth Proportional to 90,901.80, 136,352.70 and 75,868.20

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Solution

The fourth proportional to 90,901.80, 136,352.70 and 75,868.20 is: 113,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,901.80 : 136,352.70 = 75,868.20 : x
  2. Step 2: Convert to fraction form
    90,901.80/136,352.70 = 75,868.20/x
  3. Step 3: Cross multiply
    90,901.80x = 136,352.70 × 75,868.20
  4. Step 4: Simplify right side
    90,901.80x = 10,344,833,914.14
  5. Step 5: Solve for x
    x = 10,344,833,914.14/90,901.80
  6. Step 6: Final answer
    x = 113,802.30

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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.