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Finding the Fourth Proportional to 106,498.46, 146,975.01 and 61,191.11

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Solution

The fourth proportional to 106,498.46, 146,975.01 and 61,191.11 is: 84,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.46 : 146,975.01 = 61,191.11 : x
  2. Step 2: Convert to fraction form
    106,498.46/146,975.01 = 61,191.11/x
  3. Step 3: Cross multiply
    106,498.46x = 146,975.01 × 61,191.11
  4. Step 4: Simplify right side
    106,498.46x = 8,993,564,142.13
  5. Step 5: Solve for x
    x = 8,993,564,142.13/106,498.46
  6. Step 6: Final answer
    x = 84,447.83

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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.