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Finding the Fourth Proportional to 343,877.30, 515,815.95 and 107,218.10

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Solution

The fourth proportional to 343,877.30, 515,815.95 and 107,218.10 is: 160,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.30 : 515,815.95 = 107,218.10 : x
  2. Step 2: Convert to fraction form
    343,877.30/515,815.95 = 107,218.10/x
  3. Step 3: Cross multiply
    343,877.30x = 515,815.95 × 107,218.10
  4. Step 4: Simplify right side
    343,877.30x = 55,304,806,108.70
  5. Step 5: Solve for x
    x = 55,304,806,108.70/343,877.30
  6. Step 6: Final answer
    x = 160,827.15

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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.