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Finding the Fourth Proportional to 201,592.53, 302,456.84 and 89,257.41

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Solution

The fourth proportional to 201,592.53, 302,456.84 and 89,257.41 is: 133,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,592.53 : 302,456.84 = 89,257.41 : x
  2. Step 2: Convert to fraction form
    201,592.53/302,456.84 = 89,257.41/x
  3. Step 3: Cross multiply
    201,592.53x = 302,456.84 × 89,257.41
  4. Step 4: Simplify right side
    201,592.53x = 26,996,513,728.90
  5. Step 5: Solve for x
    x = 26,996,513,728.90/201,592.53
  6. Step 6: Final answer
    x = 133,916.24

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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.