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Finding the Fourth Proportional to 203,021.80, 304,532.70 and 97,851.40

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Solution

The fourth proportional to 203,021.80, 304,532.70 and 97,851.40 is: 146,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,021.80 : 304,532.70 = 97,851.40 : x
  2. Step 2: Convert to fraction form
    203,021.80/304,532.70 = 97,851.40/x
  3. Step 3: Cross multiply
    203,021.80x = 304,532.70 × 97,851.40
  4. Step 4: Simplify right side
    203,021.80x = 29,798,951,040.78
  5. Step 5: Solve for x
    x = 29,798,951,040.78/203,021.80
  6. Step 6: Final answer
    x = 146,777.10

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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.