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Finding the Fourth Proportional to 106,501.70, 146,965.07 and 58,755.84

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Solution

The fourth proportional to 106,501.70, 146,965.07 and 58,755.84 is: 81,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.70 : 146,965.07 = 58,755.84 : x
  2. Step 2: Convert to fraction form
    106,501.70/146,965.07 = 58,755.84/x
  3. Step 3: Cross multiply
    106,501.70x = 146,965.07 × 58,755.84
  4. Step 4: Simplify right side
    106,501.70x = 8,635,056,138.51
  5. Step 5: Solve for x
    x = 8,635,056,138.51/106,501.70
  6. Step 6: Final answer
    x = 81,079.05

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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.