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Finding the Fourth Proportional to 185,598, 256,125.24 and 105,023.88

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Solution

The fourth proportional to 185,598, 256,125.24 and 105,023.88 is: 144,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,598 : 256,125.24 = 105,023.88 : x
  2. Step 2: Convert to fraction form
    185,598/256,125.24 = 105,023.88/x
  3. Step 3: Cross multiply
    185,598x = 256,125.24 × 105,023.88
  4. Step 4: Simplify right side
    185,598x = 26,899,266,470.73
  5. Step 5: Solve for x
    x = 26,899,266,470.73/185,598
  6. Step 6: Final answer
    x = 144,932.95

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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.