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Finding the Fourth Proportional to 151,103.88, 208,523.75 and 83,127.78

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Solution

The fourth proportional to 151,103.88, 208,523.75 and 83,127.78 is: 114,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,103.88 : 208,523.75 = 83,127.78 : x
  2. Step 2: Convert to fraction form
    151,103.88/208,523.75 = 83,127.78/x
  3. Step 3: Cross multiply
    151,103.88x = 208,523.75 × 83,127.78
  4. Step 4: Simplify right side
    151,103.88x = 17,334,115,999.14
  5. Step 5: Solve for x
    x = 17,334,115,999.14/151,103.88
  6. Step 6: Final answer
    x = 114,716.55

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1.5x scale

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.