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Finding the Fourth Proportional to 200,924.20, 301,040.70 and 106,013.80

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Solution

The fourth proportional to 200,924.20, 301,040.70 and 106,013.80 is: 158,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,924.20 : 301,040.70 = 106,013.80 : x
  2. Step 2: Convert to fraction form
    200,924.20/301,040.70 = 106,013.80/x
  3. Step 3: Cross multiply
    200,924.20x = 301,040.70 × 106,013.80
  4. Step 4: Simplify right side
    200,924.20x = 31,914,468,561.66
  5. Step 5: Solve for x
    x = 31,914,468,561.66/200,924.20
  6. Step 6: Final answer
    x = 158,838.35

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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.