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Finding the Fourth Proportional to 140,321.50, 210,351.03 and 51,551.17

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Solution

The fourth proportional to 140,321.50, 210,351.03 and 51,551.17 is: 77,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.50 : 210,351.03 = 51,551.17 : x
  2. Step 2: Convert to fraction form
    140,321.50/210,351.03 = 51,551.17/x
  3. Step 3: Cross multiply
    140,321.50x = 210,351.03 × 51,551.17
  4. Step 4: Simplify right side
    140,321.50x = 10,843,841,707.21
  5. Step 5: Solve for x
    x = 10,843,841,707.21/140,321.50
  6. Step 6: Final answer
    x = 77,278.55

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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.