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Finding the Fourth Proportional to 201,200.68, 301,932.06 and 76,542.76

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Solution

The fourth proportional to 201,200.68, 301,932.06 and 76,542.76 is: 114,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.68 : 301,932.06 = 76,542.76 : x
  2. Step 2: Convert to fraction form
    201,200.68/301,932.06 = 76,542.76/x
  3. Step 3: Cross multiply
    201,200.68x = 301,932.06 × 76,542.76
  4. Step 4: Simplify right side
    201,200.68x = 23,110,713,204.89
  5. Step 5: Solve for x
    x = 23,110,713,204.89/201,200.68
  6. Step 6: Final answer
    x = 114,863.99

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1.5x scale

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.