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Finding the Fourth Proportional to 140,596.56, 210,972.84 and 57,548.88

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Solution

The fourth proportional to 140,596.56, 210,972.84 and 57,548.88 is: 86,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596.56 : 210,972.84 = 57,548.88 : x
  2. Step 2: Convert to fraction form
    140,596.56/210,972.84 = 57,548.88/x
  3. Step 3: Cross multiply
    140,596.56x = 210,972.84 × 57,548.88
  4. Step 4: Simplify right side
    140,596.56x = 12,141,250,652.42
  5. Step 5: Solve for x
    x = 12,141,250,652.42/140,596.56
  6. Step 6: Final answer
    x = 86,355.25

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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.