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Finding the Fourth Proportional to 343,818.39, 515,833.20 and 164,133.12

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Solution

The fourth proportional to 343,818.39, 515,833.20 and 164,133.12 is: 246,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,818.39 : 515,833.20 = 164,133.12 : x
  2. Step 2: Convert to fraction form
    343,818.39/515,833.20 = 164,133.12/x
  3. Step 3: Cross multiply
    343,818.39x = 515,833.20 × 164,133.12
  4. Step 4: Simplify right side
    343,818.39x = 84,665,312,515.58
  5. Step 5: Solve for x
    x = 84,665,312,515.58/343,818.39
  6. Step 6: Final answer
    x = 246,250.10

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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.