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Finding the Fourth Proportional to 123,853.65, 185,744.01 and 35,114.91

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Solution

The fourth proportional to 123,853.65, 185,744.01 and 35,114.91 is: 52,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,853.65 : 185,744.01 = 35,114.91 : x
  2. Step 2: Convert to fraction form
    123,853.65/185,744.01 = 35,114.91/x
  3. Step 3: Cross multiply
    123,853.65x = 185,744.01 × 35,114.91
  4. Step 4: Simplify right side
    123,853.65x = 6,522,384,194.19
  5. Step 5: Solve for x
    x = 6,522,384,194.19/123,853.65
  6. Step 6: Final answer
    x = 52,662.03

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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.