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Finding the Fourth Proportional to 140,469.14, 210,703.90 and 57,363.14

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Solution

The fourth proportional to 140,469.14, 210,703.90 and 57,363.14 is: 86,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469.14 : 210,703.90 = 57,363.14 : x
  2. Step 2: Convert to fraction form
    140,469.14/210,703.90 = 57,363.14/x
  3. Step 3: Cross multiply
    140,469.14x = 210,703.90 × 57,363.14
  4. Step 4: Simplify right side
    140,469.14x = 12,086,637,314.25
  5. Step 5: Solve for x
    x = 12,086,637,314.25/140,469.14
  6. Step 6: Final answer
    x = 86,044.79

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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.