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Finding the Fourth Proportional to 208,507.64, 312,761.50 and 83,819.48

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Solution

The fourth proportional to 208,507.64, 312,761.50 and 83,819.48 is: 125,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.64 : 312,761.50 = 83,819.48 : x
  2. Step 2: Convert to fraction form
    208,507.64/312,761.50 = 83,819.48/x
  3. Step 3: Cross multiply
    208,507.64x = 312,761.50 × 83,819.48
  4. Step 4: Simplify right side
    208,507.64x = 26,215,506,294.02
  5. Step 5: Solve for x
    x = 26,215,506,294.02/208,507.64
  6. Step 6: Final answer
    x = 125,729.24

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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.