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Finding the Fourth Proportional to 159,203.64, 238,796.82 and 48,387

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Solution

The fourth proportional to 159,203.64, 238,796.82 and 48,387 is: 72,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,203.64 : 238,796.82 = 48,387 : x
  2. Step 2: Convert to fraction form
    159,203.64/238,796.82 = 48,387/x
  3. Step 3: Cross multiply
    159,203.64x = 238,796.82 × 48,387
  4. Step 4: Simplify right side
    159,203.64x = 11,554,661,729.34
  5. Step 5: Solve for x
    x = 11,554,661,729.34/159,203.64
  6. Step 6: Final answer
    x = 72,577.87

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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.