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Finding the Fourth Proportional to 106,770.92, 147,358.50 and 61,447.98

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Solution

The fourth proportional to 106,770.92, 147,358.50 and 61,447.98 is: 84,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770.92 : 147,358.50 = 61,447.98 : x
  2. Step 2: Convert to fraction form
    106,770.92/147,358.50 = 61,447.98/x
  3. Step 3: Cross multiply
    106,770.92x = 147,358.50 × 61,447.98
  4. Step 4: Simplify right side
    106,770.92x = 9,054,882,160.83
  5. Step 5: Solve for x
    x = 9,054,882,160.83/106,770.92
  6. Step 6: Final answer
    x = 84,806.63

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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.