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Finding the Fourth Proportional to 263,999.84, 364,317.53 and 149,301

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Solution

The fourth proportional to 263,999.84, 364,317.53 and 149,301 is: 206,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,999.84 : 364,317.53 = 149,301 : x
  2. Step 2: Convert to fraction form
    263,999.84/364,317.53 = 149,301/x
  3. Step 3: Cross multiply
    263,999.84x = 364,317.53 × 149,301
  4. Step 4: Simplify right side
    263,999.84x = 54,392,971,919.78
  5. Step 5: Solve for x
    x = 54,392,971,919.78/263,999.84
  6. Step 6: Final answer
    x = 206,034.11

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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.