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Finding the Fourth Proportional to 140,573, 210,888.68 and 57,467

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Solution

The fourth proportional to 140,573, 210,888.68 and 57,467 is: 86,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,573 : 210,888.68 = 57,467 : x
  2. Step 2: Convert to fraction form
    140,573/210,888.68 = 57,467/x
  3. Step 3: Cross multiply
    140,573x = 210,888.68 × 57,467
  4. Step 4: Simplify right side
    140,573x = 12,119,139,773.56
  5. Step 5: Solve for x
    x = 12,119,139,773.56/140,573
  6. Step 6: Final answer
    x = 86,212.43

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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.