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Finding the Fourth Proportional to 227,561.70, 314,033.85 and 124,195.98

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Solution

The fourth proportional to 227,561.70, 314,033.85 and 124,195.98 is: 171,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,561.70 : 314,033.85 = 124,195.98 : x
  2. Step 2: Convert to fraction form
    227,561.70/314,033.85 = 124,195.98/x
  3. Step 3: Cross multiply
    227,561.70x = 314,033.85 × 124,195.98
  4. Step 4: Simplify right side
    227,561.70x = 39,001,741,753.92
  5. Step 5: Solve for x
    x = 39,001,741,753.92/227,561.70
  6. Step 6: Final answer
    x = 171,389.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.