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Finding the Fourth Proportional to 223,842.91, 335,881.02 and 99,154.75

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Solution

The fourth proportional to 223,842.91, 335,881.02 and 99,154.75 is: 148,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842.91 : 335,881.02 = 99,154.75 : x
  2. Step 2: Convert to fraction form
    223,842.91/335,881.02 = 99,154.75/x
  3. Step 3: Cross multiply
    223,842.91x = 335,881.02 × 99,154.75
  4. Step 4: Simplify right side
    223,842.91x = 33,304,198,567.85
  5. Step 5: Solve for x
    x = 33,304,198,567.85/223,842.91
  6. Step 6: Final answer
    x = 148,783.80

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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.