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Finding the Fourth Proportional to 330,097.84, 495,173.16 and 105,489.88

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Solution

The fourth proportional to 330,097.84, 495,173.16 and 105,489.88 is: 158,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,097.84 : 495,173.16 = 105,489.88 : x
  2. Step 2: Convert to fraction form
    330,097.84/495,173.16 = 105,489.88/x
  3. Step 3: Cross multiply
    330,097.84x = 495,173.16 × 105,489.88
  4. Step 4: Simplify right side
    330,097.84x = 52,235,757,227.62
  5. Step 5: Solve for x
    x = 52,235,757,227.62/330,097.84
  6. Step 6: Final answer
    x = 158,243.26

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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.