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Finding the Fourth Proportional to 343,286.20, 514,929.30 and 106,701.40

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Solution

The fourth proportional to 343,286.20, 514,929.30 and 106,701.40 is: 160,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,286.20 : 514,929.30 = 106,701.40 : x
  2. Step 2: Convert to fraction form
    343,286.20/514,929.30 = 106,701.40/x
  3. Step 3: Cross multiply
    343,286.20x = 514,929.30 × 106,701.40
  4. Step 4: Simplify right side
    343,286.20x = 54,943,677,211.02
  5. Step 5: Solve for x
    x = 54,943,677,211.02/343,286.20
  6. Step 6: Final answer
    x = 160,052.10

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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.