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Finding the Fourth Proportional to 268,080.55, 369,746.16 and 182,105.82

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Solution

The fourth proportional to 268,080.55, 369,746.16 and 182,105.82 is: 251,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,080.55 : 369,746.16 = 182,105.82 : x
  2. Step 2: Convert to fraction form
    268,080.55/369,746.16 = 182,105.82/x
  3. Step 3: Cross multiply
    268,080.55x = 369,746.16 × 182,105.82
  4. Step 4: Simplify right side
    268,080.55x = 67,332,927,658.65
  5. Step 5: Solve for x
    x = 67,332,927,658.65/268,080.55
  6. Step 6: Final answer
    x = 251,166.78

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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.