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Finding the Fourth Proportional to 159,374.45, 239,105.33 and 47,054.63

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Solution

The fourth proportional to 159,374.45, 239,105.33 and 47,054.63 is: 70,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,374.45 : 239,105.33 = 47,054.63 : x
  2. Step 2: Convert to fraction form
    159,374.45/239,105.33 = 47,054.63/x
  3. Step 3: Cross multiply
    159,374.45x = 239,105.33 × 47,054.63
  4. Step 4: Simplify right side
    159,374.45x = 11,251,011,403.38
  5. Step 5: Solve for x
    x = 11,251,011,403.38/159,374.45
  6. Step 6: Final answer
    x = 70,594.83

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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.