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Finding the Fourth Proportional to 312,162.93, 468,264.92 and 109,734.48

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Solution

The fourth proportional to 312,162.93, 468,264.92 and 109,734.48 is: 164,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.93 : 468,264.92 = 109,734.48 : x
  2. Step 2: Convert to fraction form
    312,162.93/468,264.92 = 109,734.48/x
  3. Step 3: Cross multiply
    312,162.93x = 468,264.92 × 109,734.48
  4. Step 4: Simplify right side
    312,162.93x = 51,384,806,949.77
  5. Step 5: Solve for x
    x = 51,384,806,949.77/312,162.93
  6. Step 6: Final answer
    x = 164,608.93

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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.