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Finding the Fourth Proportional to 106,542.40, 159,702.90 and 43,335.40

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Solution

The fourth proportional to 106,542.40, 159,702.90 and 43,335.40 is: 64,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542.40 : 159,702.90 = 43,335.40 : x
  2. Step 2: Convert to fraction form
    106,542.40/159,702.90 = 43,335.40/x
  3. Step 3: Cross multiply
    106,542.40x = 159,702.90 × 43,335.40
  4. Step 4: Simplify right side
    106,542.40x = 6,920,789,052.66
  5. Step 5: Solve for x
    x = 6,920,789,052.66/106,542.40
  6. Step 6: Final answer
    x = 64,958.07

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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.