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Finding the Fourth Proportional to 159,684.80, 239,486.33 and 47,338.76

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Solution

The fourth proportional to 159,684.80, 239,486.33 and 47,338.76 is: 70,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684.80 : 239,486.33 = 47,338.76 : x
  2. Step 2: Convert to fraction form
    159,684.80/239,486.33 = 47,338.76/x
  3. Step 3: Cross multiply
    159,684.80x = 239,486.33 × 47,338.76
  4. Step 4: Simplify right side
    159,684.80x = 11,336,984,465.03
  5. Step 5: Solve for x
    x = 11,336,984,465.03/159,684.80
  6. Step 6: Final answer
    x = 70,996.02

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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.