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Finding the Fourth Proportional to 226,704.76, 312,846.08 and 123,335.70

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Solution

The fourth proportional to 226,704.76, 312,846.08 and 123,335.70 is: 170,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,704.76 : 312,846.08 = 123,335.70 : x
  2. Step 2: Convert to fraction form
    226,704.76/312,846.08 = 123,335.70/x
  3. Step 3: Cross multiply
    226,704.76x = 312,846.08 × 123,335.70
  4. Step 4: Simplify right side
    226,704.76x = 38,585,090,269.06
  5. Step 5: Solve for x
    x = 38,585,090,269.06/226,704.76
  6. Step 6: Final answer
    x = 170,199.74

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1.5x scale

Why These Related Problems?

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