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Finding the Fourth Proportional to 182,287.92, 251,610.14 and 105,824.19

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Solution

The fourth proportional to 182,287.92, 251,610.14 and 105,824.19 is: 146,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,287.92 : 251,610.14 = 105,824.19 : x
  2. Step 2: Convert to fraction form
    182,287.92/251,610.14 = 105,824.19/x
  3. Step 3: Cross multiply
    182,287.92x = 251,610.14 × 105,824.19
  4. Step 4: Simplify right side
    182,287.92x = 26,626,438,732.17
  5. Step 5: Solve for x
    x = 26,626,438,732.17/182,287.92
  6. Step 6: Final answer
    x = 146,068.04

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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.