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Finding the Fourth Proportional to 185,752.87, 256,339.90 and 100,869.93

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Solution

The fourth proportional to 185,752.87, 256,339.90 and 100,869.93 is: 139,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,752.87 : 256,339.90 = 100,869.93 : x
  2. Step 2: Convert to fraction form
    185,752.87/256,339.90 = 100,869.93/x
  3. Step 3: Cross multiply
    185,752.87x = 256,339.90 × 100,869.93
  4. Step 4: Simplify right side
    185,752.87x = 25,856,987,769.21
  5. Step 5: Solve for x
    x = 25,856,987,769.21/185,752.87
  6. Step 6: Final answer
    x = 139,201.01

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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.