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Finding the Fourth Proportional to 106,066.97, 146,372.38 and 58,323.41

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Solution

The fourth proportional to 106,066.97, 146,372.38 and 58,323.41 is: 80,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,066.97 : 146,372.38 = 58,323.41 : x
  2. Step 2: Convert to fraction form
    106,066.97/146,372.38 = 58,323.41/x
  3. Step 3: Cross multiply
    106,066.97x = 146,372.38 × 58,323.41
  4. Step 4: Simplify right side
    106,066.97x = 8,536,935,307.94
  5. Step 5: Solve for x
    x = 8,536,935,307.94/106,066.97
  6. Step 6: Final answer
    x = 80,486.28

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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.