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Finding the Fourth Proportional to 185,630.43, 256,173.83 and 105,057.93

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Solution

The fourth proportional to 185,630.43, 256,173.83 and 105,057.93 is: 144,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,630.43 : 256,173.83 = 105,057.93 : x
  2. Step 2: Convert to fraction form
    185,630.43/256,173.83 = 105,057.93/x
  3. Step 3: Cross multiply
    185,630.43x = 256,173.83 × 105,057.93
  4. Step 4: Simplify right side
    185,630.43x = 26,913,092,299.97
  5. Step 5: Solve for x
    x = 26,913,092,299.97/185,630.43
  6. Step 6: Final answer
    x = 144,982.11

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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.