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Finding the Fourth Proportional to 159,109.96, 238,639.02 and 48,301.96

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Solution

The fourth proportional to 159,109.96, 238,639.02 and 48,301.96 is: 72,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,109.96 : 238,639.02 = 48,301.96 : x
  2. Step 2: Convert to fraction form
    159,109.96/238,639.02 = 48,301.96/x
  3. Step 3: Cross multiply
    159,109.96x = 238,639.02 × 48,301.96
  4. Step 4: Simplify right side
    159,109.96x = 11,526,732,398.48
  5. Step 5: Solve for x
    x = 11,526,732,398.48/159,109.96
  6. Step 6: Final answer
    x = 72,445.07

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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.