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Finding the Fourth Proportional to 102,793.68, 141,854.76 and 59,757.84

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Solution

The fourth proportional to 102,793.68, 141,854.76 and 59,757.84 is: 82,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,793.68 : 141,854.76 = 59,757.84 : x
  2. Step 2: Convert to fraction form
    102,793.68/141,854.76 = 59,757.84/x
  3. Step 3: Cross multiply
    102,793.68x = 141,854.76 × 59,757.84
  4. Step 4: Simplify right side
    102,793.68x = 8,476,934,051.32
  5. Step 5: Solve for x
    x = 8,476,934,051.32/102,793.68
  6. Step 6: Final answer
    x = 82,465.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.