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Finding the Fourth Proportional to 159,415.66, 239,067.13 and 47,065.83

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Solution

The fourth proportional to 159,415.66, 239,067.13 and 47,065.83 is: 70,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,415.66 : 239,067.13 = 47,065.83 : x
  2. Step 2: Convert to fraction form
    159,415.66/239,067.13 = 47,065.83/x
  3. Step 3: Cross multiply
    159,415.66x = 239,067.13 × 47,065.83
  4. Step 4: Simplify right side
    159,415.66x = 11,251,892,899.17
  5. Step 5: Solve for x
    x = 11,251,892,899.17/159,415.66
  6. Step 6: Final answer
    x = 70,582.11

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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.