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Finding the Fourth Proportional to 159,846.30, 239,423.85 and 142,335.90

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Solution

The fourth proportional to 159,846.30, 239,423.85 and 142,335.90 is: 213,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,846.30 : 239,423.85 = 142,335.90 : x
  2. Step 2: Convert to fraction form
    159,846.30/239,423.85 = 142,335.90/x
  3. Step 3: Cross multiply
    159,846.30x = 239,423.85 × 142,335.90
  4. Step 4: Simplify right side
    159,846.30x = 34,078,609,171.22
  5. Step 5: Solve for x
    x = 34,078,609,171.22/159,846.30
  6. Step 6: Final answer
    x = 213,196.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.