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Finding the Fourth Proportional to 201,632.68, 301,982.46 and 194,634.28

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Solution

The fourth proportional to 201,632.68, 301,982.46 and 194,634.28 is: 291,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.68 : 301,982.46 = 194,634.28 : x
  2. Step 2: Convert to fraction form
    201,632.68/301,982.46 = 194,634.28/x
  3. Step 3: Cross multiply
    201,632.68x = 301,982.46 × 194,634.28
  4. Step 4: Simplify right side
    201,632.68x = 58,776,138,674.73
  5. Step 5: Solve for x
    x = 58,776,138,674.73/201,632.68
  6. Step 6: Final answer
    x = 291,501.05

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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.