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Finding the Fourth Proportional to 106,951.66, 147,608.73 and 61,620.95

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Solution

The fourth proportional to 106,951.66, 147,608.73 and 61,620.95 is: 85,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,951.66 : 147,608.73 = 61,620.95 : x
  2. Step 2: Convert to fraction form
    106,951.66/147,608.73 = 61,620.95/x
  3. Step 3: Cross multiply
    106,951.66x = 147,608.73 × 61,620.95
  4. Step 4: Simplify right side
    106,951.66x = 9,095,790,539.92
  5. Step 5: Solve for x
    x = 9,095,790,539.92/106,951.66
  6. Step 6: Final answer
    x = 85,045.81

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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.