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Finding the Fourth Proportional to 185,793.48, 256,397.76 and 105,219

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Solution

The fourth proportional to 185,793.48, 256,397.76 and 105,219 is: 145,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,793.48 : 256,397.76 = 105,219 : x
  2. Step 2: Convert to fraction form
    185,793.48/256,397.76 = 105,219/x
  3. Step 3: Cross multiply
    185,793.48x = 256,397.76 × 105,219
  4. Step 4: Simplify right side
    185,793.48x = 26,977,915,909.44
  5. Step 5: Solve for x
    x = 26,977,915,909.44/185,793.48
  6. Step 6: Final answer
    x = 145,203.78

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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.