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Finding the Fourth Proportional to 185,432.69, 255,896.01 and 100,549.76

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Solution

The fourth proportional to 185,432.69, 255,896.01 and 100,549.76 is: 138,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,432.69 : 255,896.01 = 100,549.76 : x
  2. Step 2: Convert to fraction form
    185,432.69/255,896.01 = 100,549.76/x
  3. Step 3: Cross multiply
    185,432.69x = 255,896.01 × 100,549.76
  4. Step 4: Simplify right side
    185,432.69x = 25,730,281,110.98
  5. Step 5: Solve for x
    x = 25,730,281,110.98/185,432.69
  6. Step 6: Final answer
    x = 138,758.06

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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.