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Finding the Fourth Proportional to 95,702.20, 143,213.10 and 83,357.80

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Solution

The fourth proportional to 95,702.20, 143,213.10 and 83,357.80 is: 124,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702.20 : 143,213.10 = 83,357.80 : x
  2. Step 2: Convert to fraction form
    95,702.20/143,213.10 = 83,357.80/x
  3. Step 3: Cross multiply
    95,702.20x = 143,213.10 × 83,357.80
  4. Step 4: Simplify right side
    95,702.20x = 11,937,928,947.18
  5. Step 5: Solve for x
    x = 11,937,928,947.18/95,702.20
  6. Step 6: Final answer
    x = 124,740.38

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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.