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Finding the Fourth Proportional to 165,099.84, 227,838.24 and 89,648.64

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Solution

The fourth proportional to 165,099.84, 227,838.24 and 89,648.64 is: 123,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,099.84 : 227,838.24 = 89,648.64 : x
  2. Step 2: Convert to fraction form
    165,099.84/227,838.24 = 89,648.64/x
  3. Step 3: Cross multiply
    165,099.84x = 227,838.24 × 89,648.64
  4. Step 4: Simplify right side
    165,099.84x = 20,425,388,355.99
  5. Step 5: Solve for x
    x = 20,425,388,355.99/165,099.84
  6. Step 6: Final answer
    x = 123,715.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.