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Finding the Fourth Proportional to 343,224.40, 514,885.20 and 106,542.40

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Solution

The fourth proportional to 343,224.40, 514,885.20 and 106,542.40 is: 159,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,224.40 : 514,885.20 = 106,542.40 : x
  2. Step 2: Convert to fraction form
    343,224.40/514,885.20 = 106,542.40/x
  3. Step 3: Cross multiply
    343,224.40x = 514,885.20 × 106,542.40
  4. Step 4: Simplify right side
    343,224.40x = 54,857,104,932.48
  5. Step 5: Solve for x
    x = 54,857,104,932.48/343,224.40
  6. Step 6: Final answer
    x = 159,828.69

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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.