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Finding the Fourth Proportional to 159,096.80, 238,587.78 and 46,746.96

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Solution

The fourth proportional to 159,096.80, 238,587.78 and 46,746.96 is: 70,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,096.80 : 238,587.78 = 46,746.96 : x
  2. Step 2: Convert to fraction form
    159,096.80/238,587.78 = 46,746.96/x
  3. Step 3: Cross multiply
    159,096.80x = 238,587.78 × 46,746.96
  4. Step 4: Simplify right side
    159,096.80x = 11,153,253,408.15
  5. Step 5: Solve for x
    x = 11,153,253,408.15/159,096.80
  6. Step 6: Final answer
    x = 70,103.57

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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.