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Finding the Fourth Proportional to 342,886.20, 514,329.30 and 106,301.40

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Solution

The fourth proportional to 342,886.20, 514,329.30 and 106,301.40 is: 159,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,886.20 : 514,329.30 = 106,301.40 : x
  2. Step 2: Convert to fraction form
    342,886.20/514,329.30 = 106,301.40/x
  3. Step 3: Cross multiply
    342,886.20x = 514,329.30 × 106,301.40
  4. Step 4: Simplify right side
    342,886.20x = 54,673,924,651.02
  5. Step 5: Solve for x
    x = 54,673,924,651.02/342,886.20
  6. Step 6: Final answer
    x = 159,452.10

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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.