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Finding the Fourth Proportional to 105,913.53, 146,163.22 and 58,167.90

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Solution

The fourth proportional to 105,913.53, 146,163.22 and 58,167.90 is: 80,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,913.53 : 146,163.22 = 58,167.90 : x
  2. Step 2: Convert to fraction form
    105,913.53/146,163.22 = 58,167.90/x
  3. Step 3: Cross multiply
    105,913.53x = 146,163.22 × 58,167.90
  4. Step 4: Simplify right side
    105,913.53x = 8,502,007,419.22
  5. Step 5: Solve for x
    x = 8,502,007,419.22/105,913.53
  6. Step 6: Final answer
    x = 80,273.10

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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.