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Finding the Fourth Proportional to 334,805.74, 502,209.51 and 82,087.36

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Solution

The fourth proportional to 334,805.74, 502,209.51 and 82,087.36 is: 123,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,805.74 : 502,209.51 = 82,087.36 : x
  2. Step 2: Convert to fraction form
    334,805.74/502,209.51 = 82,087.36/x
  3. Step 3: Cross multiply
    334,805.74x = 502,209.51 × 82,087.36
  4. Step 4: Simplify right side
    334,805.74x = 41,225,052,842.79
  5. Step 5: Solve for x
    x = 41,225,052,842.79/334,805.74
  6. Step 6: Final answer
    x = 123,131.26

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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.