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Finding the Fourth Proportional to 159,845.80, 239,423.10 and 142,335.40

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Solution

The fourth proportional to 159,845.80, 239,423.10 and 142,335.40 is: 213,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,845.80 : 239,423.10 = 142,335.40 : x
  2. Step 2: Convert to fraction form
    159,845.80/239,423.10 = 142,335.40/x
  3. Step 3: Cross multiply
    159,845.80x = 239,423.10 × 142,335.40
  4. Step 4: Simplify right side
    159,845.80x = 34,078,382,707.74
  5. Step 5: Solve for x
    x = 34,078,382,707.74/159,845.80
  6. Step 6: Final answer
    x = 213,195.36

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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.