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Finding the Fourth Proportional to 273,287.40, 410,103.90 and 160,967.40

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Solution

The fourth proportional to 273,287.40, 410,103.90 and 160,967.40 is: 241,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,287.40 : 410,103.90 = 160,967.40 : x
  2. Step 2: Convert to fraction form
    273,287.40/410,103.90 = 160,967.40/x
  3. Step 3: Cross multiply
    273,287.40x = 410,103.90 × 160,967.40
  4. Step 4: Simplify right side
    273,287.40x = 66,013,358,512.86
  5. Step 5: Solve for x
    x = 66,013,358,512.86/273,287.40
  6. Step 6: Final answer
    x = 241,552.88

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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.