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Finding the Fourth Proportional to 106,533.00, 159,593.42 and 89,230.46

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Solution

The fourth proportional to 106,533.00, 159,593.42 and 89,230.46 is: 133,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533.00 : 159,593.42 = 89,230.46 : x
  2. Step 2: Convert to fraction form
    106,533.00/159,593.42 = 89,230.46/x
  3. Step 3: Cross multiply
    106,533.00x = 159,593.42 × 89,230.46
  4. Step 4: Simplify right side
    106,533.00x = 14,240,593,481.61
  5. Step 5: Solve for x
    x = 14,240,593,481.61/106,533.00
  6. Step 6: Final answer
    x = 133,673.08

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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.