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Finding the Fourth Proportional to 282,222.84, 422,684.82 and 163,601.40

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Solution

The fourth proportional to 282,222.84, 422,684.82 and 163,601.40 is: 245,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,222.84 : 422,684.82 = 163,601.40 : x
  2. Step 2: Convert to fraction form
    282,222.84/422,684.82 = 163,601.40/x
  3. Step 3: Cross multiply
    282,222.84x = 422,684.82 × 163,601.40
  4. Step 4: Simplify right side
    282,222.84x = 69,151,828,310.75
  5. Step 5: Solve for x
    x = 69,151,828,310.75/282,222.84
  6. Step 6: Final answer
    x = 245,025.63

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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.