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Finding the Fourth Proportional to 119,768.64, 179,691.84 and 57,444

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Solution

The fourth proportional to 119,768.64, 179,691.84 and 57,444 is: 86,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,768.64 : 179,691.84 = 57,444 : x
  2. Step 2: Convert to fraction form
    119,768.64/179,691.84 = 57,444/x
  3. Step 3: Cross multiply
    119,768.64x = 179,691.84 × 57,444
  4. Step 4: Simplify right side
    119,768.64x = 10,322,218,056.96
  5. Step 5: Solve for x
    x = 10,322,218,056.96/119,768.64
  6. Step 6: Final answer
    x = 86,184.65

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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.