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Finding the Fourth Proportional to 289,527.66, 434,184.75 and 99,939.78

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Solution

The fourth proportional to 289,527.66, 434,184.75 and 99,939.78 is: 149,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,527.66 : 434,184.75 = 99,939.78 : x
  2. Step 2: Convert to fraction form
    289,527.66/434,184.75 = 99,939.78/x
  3. Step 3: Cross multiply
    289,527.66x = 434,184.75 × 99,939.78
  4. Step 4: Simplify right side
    289,527.66x = 43,392,328,394.36
  5. Step 5: Solve for x
    x = 43,392,328,394.36/289,527.66
  6. Step 6: Final answer
    x = 149,872.83

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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.