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Finding the Fourth Proportional to 151,241.86, 208,712.07 and 83,257.38

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Solution

The fourth proportional to 151,241.86, 208,712.07 and 83,257.38 is: 114,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,241.86 : 208,712.07 = 83,257.38 : x
  2. Step 2: Convert to fraction form
    151,241.86/208,712.07 = 83,257.38/x
  3. Step 3: Cross multiply
    151,241.86x = 208,712.07 × 83,257.38
  4. Step 4: Simplify right side
    151,241.86x = 17,376,820,122.58
  5. Step 5: Solve for x
    x = 17,376,820,122.58/151,241.86
  6. Step 6: Final answer
    x = 114,894.25

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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.