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Finding the Fourth Proportional to 264,001.82, 364,320.30 and 149,303

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Solution

The fourth proportional to 264,001.82, 364,320.30 and 149,303 is: 206,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,001.82 : 364,320.30 = 149,303 : x
  2. Step 2: Convert to fraction form
    264,001.82/364,320.30 = 149,303/x
  3. Step 3: Cross multiply
    264,001.82x = 364,320.30 × 149,303
  4. Step 4: Simplify right side
    264,001.82x = 54,394,113,750.90
  5. Step 5: Solve for x
    x = 54,394,113,750.90/264,001.82
  6. Step 6: Final answer
    x = 206,036.89

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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.