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Finding the Fourth Proportional to 159,493.77, 239,287.44 and 47,176.95

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Solution

The fourth proportional to 159,493.77, 239,287.44 and 47,176.95 is: 70,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,493.77 : 239,287.44 = 47,176.95 : x
  2. Step 2: Convert to fraction form
    159,493.77/239,287.44 = 47,176.95/x
  3. Step 3: Cross multiply
    159,493.77x = 239,287.44 × 47,176.95
  4. Step 4: Simplify right side
    159,493.77x = 11,288,850,278.13
  5. Step 5: Solve for x
    x = 11,288,850,278.13/159,493.77
  6. Step 6: Final answer
    x = 70,779.25

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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.