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Finding the Fourth Proportional to 83,714.80, 125,863.80 and 70,884.40

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Solution

The fourth proportional to 83,714.80, 125,863.80 and 70,884.40 is: 106,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,714.80 : 125,863.80 = 70,884.40 : x
  2. Step 2: Convert to fraction form
    83,714.80/125,863.80 = 70,884.40/x
  3. Step 3: Cross multiply
    83,714.80x = 125,863.80 × 70,884.40
  4. Step 4: Simplify right side
    83,714.80x = 8,921,779,944.72
  5. Step 5: Solve for x
    x = 8,921,779,944.72/83,714.80
  6. Step 6: Final answer
    x = 106,573.51

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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.