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Finding the Fourth Proportional to 185,748.32, 256,335.87 and 100,865.38

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Solution

The fourth proportional to 185,748.32, 256,335.87 and 100,865.38 is: 139,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,748.32 : 256,335.87 = 100,865.38 : x
  2. Step 2: Convert to fraction form
    185,748.32/256,335.87 = 100,865.38/x
  3. Step 3: Cross multiply
    185,748.32x = 256,335.87 × 100,865.38
  4. Step 4: Simplify right side
    185,748.32x = 25,855,413,653.50
  5. Step 5: Solve for x
    x = 25,855,413,653.50/185,748.32
  6. Step 6: Final answer
    x = 139,195.95

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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.