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Finding the Fourth Proportional to 106,142.68, 146,476.89 and 58,395

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Solution

The fourth proportional to 106,142.68, 146,476.89 and 58,395 is: 80,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142.68 : 146,476.89 = 58,395 : x
  2. Step 2: Convert to fraction form
    106,142.68/146,476.89 = 58,395/x
  3. Step 3: Cross multiply
    106,142.68x = 146,476.89 × 58,395
  4. Step 4: Simplify right side
    106,142.68x = 8,553,517,991.55
  5. Step 5: Solve for x
    x = 8,553,517,991.55/106,142.68
  6. Step 6: Final answer
    x = 80,585.10

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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.