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Finding the Fourth Proportional to 270,308.99, 373,019.82 and 149,447.16

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Solution

The fourth proportional to 270,308.99, 373,019.82 and 149,447.16 is: 206,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,308.99 : 373,019.82 = 149,447.16 : x
  2. Step 2: Convert to fraction form
    270,308.99/373,019.82 = 149,447.16/x
  3. Step 3: Cross multiply
    270,308.99x = 373,019.82 × 149,447.16
  4. Step 4: Simplify right side
    270,308.99x = 55,746,752,722.71
  5. Step 5: Solve for x
    x = 55,746,752,722.71/270,308.99
  6. Step 6: Final answer
    x = 206,233.44

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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.