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Finding the Fourth Proportional to 151,170.98, 208,611.53 and 83,187.92

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Solution

The fourth proportional to 151,170.98, 208,611.53 and 83,187.92 is: 114,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,170.98 : 208,611.53 = 83,187.92 : x
  2. Step 2: Convert to fraction form
    151,170.98/208,611.53 = 83,187.92/x
  3. Step 3: Cross multiply
    151,170.98x = 208,611.53 × 83,187.92
  4. Step 4: Simplify right side
    151,170.98x = 17,353,959,686.26
  5. Step 5: Solve for x
    x = 17,353,959,686.26/151,170.98
  6. Step 6: Final answer
    x = 114,796.90

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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.