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Finding the Fourth Proportional to 288,842.85, 433,158.17 and 99,249.44

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Solution

The fourth proportional to 288,842.85, 433,158.17 and 99,249.44 is: 148,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,842.85 : 433,158.17 = 99,249.44 : x
  2. Step 2: Convert to fraction form
    288,842.85/433,158.17 = 99,249.44/x
  3. Step 3: Cross multiply
    288,842.85x = 433,158.17 × 99,249.44
  4. Step 4: Simplify right side
    288,842.85x = 42,990,703,141.89
  5. Step 5: Solve for x
    x = 42,990,703,141.89/288,842.85
  6. Step 6: Final answer
    x = 148,837.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.