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Finding the Fourth Proportional to 227,002.80, 340,698.60 and 100,837.20

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Solution

The fourth proportional to 227,002.80, 340,698.60 and 100,837.20 is: 151,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,002.80 : 340,698.60 = 100,837.20 : x
  2. Step 2: Convert to fraction form
    227,002.80/340,698.60 = 100,837.20/x
  3. Step 3: Cross multiply
    227,002.80x = 340,698.60 × 100,837.20
  4. Step 4: Simplify right side
    227,002.80x = 34,355,092,867.92
  5. Step 5: Solve for x
    x = 34,355,092,867.92/227,002.80
  6. Step 6: Final answer
    x = 151,342.15

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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.