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Finding the Fourth Proportional to 159,252.88, 238,913.88 and 48,442

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Solution

The fourth proportional to 159,252.88, 238,913.88 and 48,442 is: 72,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,252.88 : 238,913.88 = 48,442 : x
  2. Step 2: Convert to fraction form
    159,252.88/238,913.88 = 48,442/x
  3. Step 3: Cross multiply
    159,252.88x = 238,913.88 × 48,442
  4. Step 4: Simplify right side
    159,252.88x = 11,573,466,174.96
  5. Step 5: Solve for x
    x = 11,573,466,174.96/159,252.88
  6. Step 6: Final answer
    x = 72,673.51

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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.