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Finding the Fourth Proportional to 201,280.95, 301,806.61 and 82,811.16

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Solution

The fourth proportional to 201,280.95, 301,806.61 and 82,811.16 is: 124,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.95 : 301,806.61 = 82,811.16 : x
  2. Step 2: Convert to fraction form
    201,280.95/301,806.61 = 82,811.16/x
  3. Step 3: Cross multiply
    201,280.95x = 301,806.61 × 82,811.16
  4. Step 4: Simplify right side
    201,280.95x = 24,992,955,262.74
  5. Step 5: Solve for x
    x = 24,992,955,262.74/201,280.95
  6. Step 6: Final answer
    x = 124,169.50

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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.