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Finding the Fourth Proportional to 244,709.12, 337,724.16 and 137,308.16

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Solution

The fourth proportional to 244,709.12, 337,724.16 and 137,308.16 is: 189,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,709.12 : 337,724.16 = 137,308.16 : x
  2. Step 2: Convert to fraction form
    244,709.12/337,724.16 = 137,308.16/x
  3. Step 3: Cross multiply
    244,709.12x = 337,724.16 × 137,308.16
  4. Step 4: Simplify right side
    244,709.12x = 46,372,282,997.15
  5. Step 5: Solve for x
    x = 46,372,282,997.15/244,709.12
  6. Step 6: Final answer
    x = 189,499.61

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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.