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Finding the Fourth Proportional to 227,565.60, 313,905.22 and 147,040.60

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Solution

The fourth proportional to 227,565.60, 313,905.22 and 147,040.60 is: 202,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,565.60 : 313,905.22 = 147,040.60 : x
  2. Step 2: Convert to fraction form
    227,565.60/313,905.22 = 147,040.60/x
  3. Step 3: Cross multiply
    227,565.60x = 313,905.22 × 147,040.60
  4. Step 4: Simplify right side
    227,565.60x = 46,156,811,891.93
  5. Step 5: Solve for x
    x = 46,156,811,891.93/227,565.60
  6. Step 6: Final answer
    x = 202,828.60

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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.