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Finding the Fourth Proportional to 201,633.80, 302,438.46 and 89,281.16

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Solution

The fourth proportional to 201,633.80, 302,438.46 and 89,281.16 is: 133,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633.80 : 302,438.46 = 89,281.16 : x
  2. Step 2: Convert to fraction form
    201,633.80/302,438.46 = 89,281.16/x
  3. Step 3: Cross multiply
    201,633.80x = 302,438.46 × 89,281.16
  4. Step 4: Simplify right side
    201,633.80x = 27,002,056,537.41
  5. Step 5: Solve for x
    x = 27,002,056,537.41/201,633.80
  6. Step 6: Final answer
    x = 133,916.32

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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.