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Finding the Fourth Proportional to 151,105.38, 208,525.82 and 83,129.28

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Solution

The fourth proportional to 151,105.38, 208,525.82 and 83,129.28 is: 114,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,105.38 : 208,525.82 = 83,129.28 : x
  2. Step 2: Convert to fraction form
    151,105.38/208,525.82 = 83,129.28/x
  3. Step 3: Cross multiply
    151,105.38x = 208,525.82 × 83,129.28
  4. Step 4: Simplify right side
    151,105.38x = 17,334,600,862.36
  5. Step 5: Solve for x
    x = 17,334,600,862.36/151,105.38
  6. Step 6: Final answer
    x = 114,718.62

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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.