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Finding the Fourth Proportional to 293,145.75, 404,541.27 and 165,818.61

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Solution

The fourth proportional to 293,145.75, 404,541.27 and 165,818.61 is: 228,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,145.75 : 404,541.27 = 165,818.61 : x
  2. Step 2: Convert to fraction form
    293,145.75/404,541.27 = 165,818.61/x
  3. Step 3: Cross multiply
    293,145.75x = 404,541.27 × 165,818.61
  4. Step 4: Simplify right side
    293,145.75x = 67,080,471,079.03
  5. Step 5: Solve for x
    x = 67,080,471,079.03/293,145.75
  6. Step 6: Final answer
    x = 228,829.76

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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.