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Finding the Fourth Proportional to 203,401, 304,810.78 and 89,412.20

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Solution

The fourth proportional to 203,401, 304,810.78 and 89,412.20 is: 133,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401 : 304,810.78 = 89,412.20 : x
  2. Step 2: Convert to fraction form
    203,401/304,810.78 = 89,412.20/x
  3. Step 3: Cross multiply
    203,401x = 304,810.78 × 89,412.20
  4. Step 4: Simplify right side
    203,401x = 27,253,802,423.52
  5. Step 5: Solve for x
    x = 27,253,802,423.52/203,401
  6. Step 6: Final answer
    x = 133,990.50

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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.