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Finding the Fourth Proportional to 334,141.86, 501,046.97 and 106,407.80

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Solution

The fourth proportional to 334,141.86, 501,046.97 and 106,407.80 is: 159,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,141.86 : 501,046.97 = 106,407.80 : x
  2. Step 2: Convert to fraction form
    334,141.86/501,046.97 = 106,407.80/x
  3. Step 3: Cross multiply
    334,141.86x = 501,046.97 × 106,407.80
  4. Step 4: Simplify right side
    334,141.86x = 53,315,306,494.94
  5. Step 5: Solve for x
    x = 53,315,306,494.94/334,141.86
  6. Step 6: Final answer
    x = 159,558.90

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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.