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Finding the Fourth Proportional to 226,197, 312,128.28 and 130,734.54

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Solution

The fourth proportional to 226,197, 312,128.28 and 130,734.54 is: 180,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,197 : 312,128.28 = 130,734.54 : x
  2. Step 2: Convert to fraction form
    226,197/312,128.28 = 130,734.54/x
  3. Step 3: Cross multiply
    226,197x = 312,128.28 × 130,734.54
  4. Step 4: Simplify right side
    226,197x = 40,805,947,106.79
  5. Step 5: Solve for x
    x = 40,805,947,106.79/226,197
  6. Step 6: Final answer
    x = 180,400.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.