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Finding the Fourth Proportional to 288,842.14, 433,334.22 and 99,305.38

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Solution

The fourth proportional to 288,842.14, 433,334.22 and 99,305.38 is: 148,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,842.14 : 433,334.22 = 99,305.38 : x
  2. Step 2: Convert to fraction form
    288,842.14/433,334.22 = 99,305.38/x
  3. Step 3: Cross multiply
    288,842.14x = 433,334.22 × 99,305.38
  4. Step 4: Simplify right side
    288,842.14x = 43,032,419,384.10
  5. Step 5: Solve for x
    x = 43,032,419,384.10/288,842.14
  6. Step 6: Final answer
    x = 148,982.48

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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.