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Finding the Fourth Proportional to 182,356.92, 251,694.54 and 106,929.72

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Solution

The fourth proportional to 182,356.92, 251,694.54 and 106,929.72 is: 147,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,356.92 : 251,694.54 = 106,929.72 : x
  2. Step 2: Convert to fraction form
    182,356.92/251,694.54 = 106,929.72/x
  3. Step 3: Cross multiply
    182,356.92x = 251,694.54 × 106,929.72
  4. Step 4: Simplify right side
    182,356.92x = 26,913,626,687.73
  5. Step 5: Solve for x
    x = 26,913,626,687.73/182,356.92
  6. Step 6: Final answer
    x = 147,587.64

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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.