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Finding the Fourth Proportional to 160,191, 240,278.22 and 47,872.15

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Solution

The fourth proportional to 160,191, 240,278.22 and 47,872.15 is: 71,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,191 : 240,278.22 = 47,872.15 : x
  2. Step 2: Convert to fraction form
    160,191/240,278.22 = 47,872.15/x
  3. Step 3: Cross multiply
    160,191x = 240,278.22 × 47,872.15
  4. Step 4: Simplify right side
    160,191x = 11,502,634,388.88
  5. Step 5: Solve for x
    x = 11,502,634,388.88/160,191
  6. Step 6: Final answer
    x = 71,805.75

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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.