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Finding the Fourth Proportional to 201,089.84, 301,584.92 and 67,967.16

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Solution

The fourth proportional to 201,089.84, 301,584.92 and 67,967.16 is: 101,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,089.84 : 301,584.92 = 67,967.16 : x
  2. Step 2: Convert to fraction form
    201,089.84/301,584.92 = 67,967.16/x
  3. Step 3: Cross multiply
    201,089.84x = 301,584.92 × 67,967.16
  4. Step 4: Simplify right side
    201,089.84x = 20,497,870,511.23
  5. Step 5: Solve for x
    x = 20,497,870,511.23/201,089.84
  6. Step 6: Final answer
    x = 101,933.89

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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.