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Finding the Fourth Proportional to 106,954.66, 147,612.87 and 61,623.95

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Solution

The fourth proportional to 106,954.66, 147,612.87 and 61,623.95 is: 85,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.66 : 147,612.87 = 61,623.95 : x
  2. Step 2: Convert to fraction form
    106,954.66/147,612.87 = 61,623.95/x
  3. Step 3: Cross multiply
    106,954.66x = 147,612.87 × 61,623.95
  4. Step 4: Simplify right side
    106,954.66x = 9,096,488,489.27
  5. Step 5: Solve for x
    x = 9,096,488,489.27/106,954.66
  6. Step 6: Final answer
    x = 85,049.95

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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.