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Finding the Fourth Proportional to 151,241.36, 208,711.38 and 83,256.88

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Solution

The fourth proportional to 151,241.36, 208,711.38 and 83,256.88 is: 114,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,241.36 : 208,711.38 = 83,256.88 : x
  2. Step 2: Convert to fraction form
    151,241.36/208,711.38 = 83,256.88/x
  3. Step 3: Cross multiply
    151,241.36x = 208,711.38 × 83,256.88
  4. Step 4: Simplify right side
    151,241.36x = 17,376,658,319.29
  5. Step 5: Solve for x
    x = 17,376,658,319.29/151,241.36
  6. Step 6: Final answer
    x = 114,893.56

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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.