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Finding the Fourth Proportional to 159,073, 238,610.94 and 48,265

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Solution

The fourth proportional to 159,073, 238,610.94 and 48,265 is: 72,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,073 : 238,610.94 = 48,265 : x
  2. Step 2: Convert to fraction form
    159,073/238,610.94 = 48,265/x
  3. Step 3: Cross multiply
    159,073x = 238,610.94 × 48,265
  4. Step 4: Simplify right side
    159,073x = 11,516,557,019.10
  5. Step 5: Solve for x
    x = 11,516,557,019.10/159,073
  6. Step 6: Final answer
    x = 72,397.94

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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.