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Finding the Fourth Proportional to 185,594.86, 256,121.55 and 100,711.90

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Solution

The fourth proportional to 185,594.86, 256,121.55 and 100,711.90 is: 138,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,594.86 : 256,121.55 = 100,711.90 : x
  2. Step 2: Convert to fraction form
    185,594.86/256,121.55 = 100,711.90/x
  3. Step 3: Cross multiply
    185,594.86x = 256,121.55 × 100,711.90
  4. Step 4: Simplify right side
    185,594.86x = 25,794,487,931.45
  5. Step 5: Solve for x
    x = 25,794,487,931.45/185,594.86
  6. Step 6: Final answer
    x = 138,982.77

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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.