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Finding the Fourth Proportional to 268,180.74, 370,037.88 and 182,207.88

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Solution

The fourth proportional to 268,180.74, 370,037.88 and 182,207.88 is: 251,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,180.74 : 370,037.88 = 182,207.88 : x
  2. Step 2: Convert to fraction form
    268,180.74/370,037.88 = 182,207.88/x
  3. Step 3: Cross multiply
    268,180.74x = 370,037.88 × 182,207.88
  4. Step 4: Simplify right side
    268,180.74x = 67,423,817,634.49
  5. Step 5: Solve for x
    x = 67,423,817,634.49/268,180.74
  6. Step 6: Final answer
    x = 251,411.86

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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.