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Finding the Fourth Proportional to 106,459.92, 159,697.98 and 62,091.09

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Solution

The fourth proportional to 106,459.92, 159,697.98 and 62,091.09 is: 93,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,459.92 : 159,697.98 = 62,091.09 : x
  2. Step 2: Convert to fraction form
    106,459.92/159,697.98 = 62,091.09/x
  3. Step 3: Cross multiply
    106,459.92x = 159,697.98 × 62,091.09
  4. Step 4: Simplify right side
    106,459.92x = 9,915,821,649.00
  5. Step 5: Solve for x
    x = 9,915,821,649.00/106,459.92
  6. Step 6: Final answer
    x = 93,141.36

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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.