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Finding the Fourth Proportional to 106,342.40, 159,475.20 and 53,734.40

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Solution

The fourth proportional to 106,342.40, 159,475.20 and 53,734.40 is: 80,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.40 : 159,475.20 = 53,734.40 : x
  2. Step 2: Convert to fraction form
    106,342.40/159,475.20 = 53,734.40/x
  3. Step 3: Cross multiply
    106,342.40x = 159,475.20 × 53,734.40
  4. Step 4: Simplify right side
    106,342.40x = 8,569,304,186.88
  5. Step 5: Solve for x
    x = 8,569,304,186.88/106,342.40
  6. Step 6: Final answer
    x = 80,582.20

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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.