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Finding the Fourth Proportional to 140,313.98, 210,554.01 and 51,629.77

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Solution

The fourth proportional to 140,313.98, 210,554.01 and 51,629.77 is: 77,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,313.98 : 210,554.01 = 51,629.77 : x
  2. Step 2: Convert to fraction form
    140,313.98/210,554.01 = 51,629.77/x
  3. Step 3: Cross multiply
    140,313.98x = 210,554.01 × 51,629.77
  4. Step 4: Simplify right side
    140,313.98x = 10,870,853,797.96
  5. Step 5: Solve for x
    x = 10,870,853,797.96/140,313.98
  6. Step 6: Final answer
    x = 77,475.20

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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.