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Finding the Fourth Proportional to 334,801.74, 502,203.51 and 82,083.36

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Solution

The fourth proportional to 334,801.74, 502,203.51 and 82,083.36 is: 123,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,801.74 : 502,203.51 = 82,083.36 : x
  2. Step 2: Convert to fraction form
    334,801.74/502,203.51 = 82,083.36/x
  3. Step 3: Cross multiply
    334,801.74x = 502,203.51 × 82,083.36
  4. Step 4: Simplify right side
    334,801.74x = 41,222,551,504.59
  5. Step 5: Solve for x
    x = 41,222,551,504.59/334,801.74
  6. Step 6: Final answer
    x = 123,125.26

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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.