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Finding the Fourth Proportional to 141,535.92, 212,200.92 and 71,465.04

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Solution

The fourth proportional to 141,535.92, 212,200.92 and 71,465.04 is: 107,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,535.92 : 212,200.92 = 71,465.04 : x
  2. Step 2: Convert to fraction form
    141,535.92/212,200.92 = 71,465.04/x
  3. Step 3: Cross multiply
    141,535.92x = 212,200.92 × 71,465.04
  4. Step 4: Simplify right side
    141,535.92x = 15,164,947,235.84
  5. Step 5: Solve for x
    x = 15,164,947,235.84/141,535.92
  6. Step 6: Final answer
    x = 107,145.57

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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.