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Finding the Fourth Proportional to 106,265, 146,645.70 and 58,518.24

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Solution

The fourth proportional to 106,265, 146,645.70 and 58,518.24 is: 80,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,265 : 146,645.70 = 58,518.24 : x
  2. Step 2: Convert to fraction form
    106,265/146,645.70 = 58,518.24/x
  3. Step 3: Cross multiply
    106,265x = 146,645.70 × 58,518.24
  4. Step 4: Simplify right side
    106,265x = 8,581,448,267.57
  5. Step 5: Solve for x
    x = 8,581,448,267.57/106,265
  6. Step 6: Final answer
    x = 80,755.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.