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Finding the Fourth Proportional to 159,595.32, 239,310.94 and 47,261.42

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Solution

The fourth proportional to 159,595.32, 239,310.94 and 47,261.42 is: 70,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,595.32 : 239,310.94 = 47,261.42 : x
  2. Step 2: Convert to fraction form
    159,595.32/239,310.94 = 47,261.42/x
  3. Step 3: Cross multiply
    159,595.32x = 239,310.94 × 47,261.42
  4. Step 4: Simplify right side
    159,595.32x = 11,310,174,845.93
  5. Step 5: Solve for x
    x = 11,310,174,845.93/159,595.32
  6. Step 6: Final answer
    x = 70,867.84

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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.