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Finding the Fourth Proportional to 227,353.61, 340,727.43 and 107,442.40

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Solution

The fourth proportional to 227,353.61, 340,727.43 and 107,442.40 is: 161,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,353.61 : 340,727.43 = 107,442.40 : x
  2. Step 2: Convert to fraction form
    227,353.61/340,727.43 = 107,442.40/x
  3. Step 3: Cross multiply
    227,353.61x = 340,727.43 × 107,442.40
  4. Step 4: Simplify right side
    227,353.61x = 36,608,572,565.66
  5. Step 5: Solve for x
    x = 36,608,572,565.66/227,353.61
  6. Step 6: Final answer
    x = 161,020.41

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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.