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Finding the Fourth Proportional to 312,893.15, 469,061.33 and 113,169.11

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Solution

The fourth proportional to 312,893.15, 469,061.33 and 113,169.11 is: 169,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,893.15 : 469,061.33 = 113,169.11 : x
  2. Step 2: Convert to fraction form
    312,893.15/469,061.33 = 113,169.11/x
  3. Step 3: Cross multiply
    312,893.15x = 469,061.33 × 113,169.11
  4. Step 4: Simplify right side
    312,893.15x = 53,083,250,340.36
  5. Step 5: Solve for x
    x = 53,083,250,340.36/312,893.15
  6. Step 6: Final answer
    x = 169,652.97

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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.