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Finding the Fourth Proportional to 151,657.26, 209,289.15 and 83,677.20

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Solution

The fourth proportional to 151,657.26, 209,289.15 and 83,677.20 is: 115,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,657.26 : 209,289.15 = 83,677.20 : x
  2. Step 2: Convert to fraction form
    151,657.26/209,289.15 = 83,677.20/x
  3. Step 3: Cross multiply
    151,657.26x = 209,289.15 × 83,677.20
  4. Step 4: Simplify right side
    151,657.26x = 17,512,730,062.38
  5. Step 5: Solve for x
    x = 17,512,730,062.38/151,657.26
  6. Step 6: Final answer
    x = 115,475.71

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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.