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Finding the Fourth Proportional to 109,212.99, 163,842.85 and 61,850.46

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Solution

The fourth proportional to 109,212.99, 163,842.85 and 61,850.46 is: 92,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.99 : 163,842.85 = 61,850.46 : x
  2. Step 2: Convert to fraction form
    109,212.99/163,842.85 = 61,850.46/x
  3. Step 3: Cross multiply
    109,212.99x = 163,842.85 × 61,850.46
  4. Step 4: Simplify right side
    109,212.99x = 10,133,756,331.93
  5. Step 5: Solve for x
    x = 10,133,756,331.93/109,212.99
  6. Step 6: Final answer
    x = 92,788.93

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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.