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Finding the Fourth Proportional to 185,780.32, 256,393.56 and 105,227.44

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Solution

The fourth proportional to 185,780.32, 256,393.56 and 105,227.44 is: 145,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.32 : 256,393.56 = 105,227.44 : x
  2. Step 2: Convert to fraction form
    185,780.32/256,393.56 = 105,227.44/x
  3. Step 3: Cross multiply
    185,780.32x = 256,393.56 × 105,227.44
  4. Step 4: Simplify right side
    185,780.32x = 26,979,637,951.29
  5. Step 5: Solve for x
    x = 26,979,637,951.29/185,780.32
  6. Step 6: Final answer
    x = 145,223.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.