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Finding the Fourth Proportional to 185,572.85, 256,093.50 and 100,689.90

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Solution

The fourth proportional to 185,572.85, 256,093.50 and 100,689.90 is: 138,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,572.85 : 256,093.50 = 100,689.90 : x
  2. Step 2: Convert to fraction form
    185,572.85/256,093.50 = 100,689.90/x
  3. Step 3: Cross multiply
    185,572.85x = 256,093.50 × 100,689.90
  4. Step 4: Simplify right side
    185,572.85x = 25,786,028,905.65
  5. Step 5: Solve for x
    x = 25,786,028,905.65/185,572.85
  6. Step 6: Final answer
    x = 138,953.68

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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.