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Finding the Fourth Proportional to 334,116.70, 501,235.80 and 109,414.60

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Solution

The fourth proportional to 334,116.70, 501,235.80 and 109,414.60 is: 164,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,116.70 : 501,235.80 = 109,414.60 : x
  2. Step 2: Convert to fraction form
    334,116.70/501,235.80 = 109,414.60/x
  3. Step 3: Cross multiply
    334,116.70x = 501,235.80 × 109,414.60
  4. Step 4: Simplify right side
    334,116.70x = 54,842,514,562.68
  5. Step 5: Solve for x
    x = 54,842,514,562.68/334,116.70
  6. Step 6: Final answer
    x = 164,141.79

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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.