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Finding the Fourth Proportional to 151,273.68, 208,757.70 and 83,290.92

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Solution

The fourth proportional to 151,273.68, 208,757.70 and 83,290.92 is: 114,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,273.68 : 208,757.70 = 83,290.92 : x
  2. Step 2: Convert to fraction form
    151,273.68/208,757.70 = 83,290.92/x
  3. Step 3: Cross multiply
    151,273.68x = 208,757.70 × 83,290.92
  4. Step 4: Simplify right side
    151,273.68x = 17,387,620,890.08
  5. Step 5: Solve for x
    x = 17,387,620,890.08/151,273.68
  6. Step 6: Final answer
    x = 114,941.48

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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.