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Finding the Fourth Proportional to 106,713.30, 147,262.38 and 58,965.64

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Solution

The fourth proportional to 106,713.30, 147,262.38 and 58,965.64 is: 81,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.30 : 147,262.38 = 58,965.64 : x
  2. Step 2: Convert to fraction form
    106,713.30/147,262.38 = 58,965.64/x
  3. Step 3: Cross multiply
    106,713.30x = 147,262.38 × 58,965.64
  4. Step 4: Simplify right side
    106,713.30x = 8,683,420,484.62
  5. Step 5: Solve for x
    x = 8,683,420,484.62/106,713.30
  6. Step 6: Final answer
    x = 81,371.49

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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.