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Finding the Fourth Proportional to 159,860.96, 239,828.16 and 54,679.76

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Solution

The fourth proportional to 159,860.96, 239,828.16 and 54,679.76 is: 82,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,860.96 : 239,828.16 = 54,679.76 : x
  2. Step 2: Convert to fraction form
    159,860.96/239,828.16 = 54,679.76/x
  3. Step 3: Cross multiply
    159,860.96x = 239,828.16 × 54,679.76
  4. Step 4: Simplify right side
    159,860.96x = 13,113,746,230.04
  5. Step 5: Solve for x
    x = 13,113,746,230.04/159,860.96
  6. Step 6: Final answer
    x = 82,032.20

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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.