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Finding the Fourth Proportional to 343,092.60, 514,659.06 and 132,731.64

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Solution

The fourth proportional to 343,092.60, 514,659.06 and 132,731.64 is: 199,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,092.60 : 514,659.06 = 132,731.64 : x
  2. Step 2: Convert to fraction form
    343,092.60/514,659.06 = 132,731.64/x
  3. Step 3: Cross multiply
    343,092.60x = 514,659.06 × 132,731.64
  4. Step 4: Simplify right side
    343,092.60x = 68,311,541,074.66
  5. Step 5: Solve for x
    x = 68,311,541,074.66/343,092.60
  6. Step 6: Final answer
    x = 199,105.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.