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Finding the Fourth Proportional to 159,084.34, 219,537.87 and 87,464.89

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Solution

The fourth proportional to 159,084.34, 219,537.87 and 87,464.89 is: 120,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,084.34 : 219,537.87 = 87,464.89 : x
  2. Step 2: Convert to fraction form
    159,084.34/219,537.87 = 87,464.89/x
  3. Step 3: Cross multiply
    159,084.34x = 219,537.87 × 87,464.89
  4. Step 4: Simplify right side
    159,084.34x = 19,201,855,650.38
  5. Step 5: Solve for x
    x = 19,201,855,650.38/159,084.34
  6. Step 6: Final answer
    x = 120,702.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.