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Finding the Fourth Proportional to 159,770.72, 239,656.16 and 54,590.72

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Solution

The fourth proportional to 159,770.72, 239,656.16 and 54,590.72 is: 81,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,770.72 : 239,656.16 = 54,590.72 : x
  2. Step 2: Convert to fraction form
    159,770.72/239,656.16 = 54,590.72/x
  3. Step 3: Cross multiply
    159,770.72x = 239,656.16 × 54,590.72
  4. Step 4: Simplify right side
    159,770.72x = 13,083,002,326.84
  5. Step 5: Solve for x
    x = 13,083,002,326.84/159,770.72
  6. Step 6: Final answer
    x = 81,886.11

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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.