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Finding the Fourth Proportional to 208,265.64, 312,402.30 and 75,155.88

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Solution

The fourth proportional to 208,265.64, 312,402.30 and 75,155.88 is: 112,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265.64 : 312,402.30 = 75,155.88 : x
  2. Step 2: Convert to fraction form
    208,265.64/312,402.30 = 75,155.88/x
  3. Step 3: Cross multiply
    208,265.64x = 312,402.30 × 75,155.88
  4. Step 4: Simplify right side
    208,265.64x = 23,478,869,770.52
  5. Step 5: Solve for x
    x = 23,478,869,770.52/208,265.64
  6. Step 6: Final answer
    x = 112,735.21

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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.