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Finding the Fourth Proportional to 343,135.20, 514,752.48 and 106,497

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Solution

The fourth proportional to 343,135.20, 514,752.48 and 106,497 is: 159,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,135.20 : 514,752.48 = 106,497 : x
  2. Step 2: Convert to fraction form
    343,135.20/514,752.48 = 106,497/x
  3. Step 3: Cross multiply
    343,135.20x = 514,752.48 × 106,497
  4. Step 4: Simplify right side
    343,135.20x = 54,819,594,862.56
  5. Step 5: Solve for x
    x = 54,819,594,862.56/343,135.20
  6. Step 6: Final answer
    x = 159,760.92

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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.