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Finding the Fourth Proportional to 106,782.77, 147,363.30 and 59,039.19

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Solution

The fourth proportional to 106,782.77, 147,363.30 and 59,039.19 is: 81,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.77 : 147,363.30 = 59,039.19 : x
  2. Step 2: Convert to fraction form
    106,782.77/147,363.30 = 59,039.19/x
  3. Step 3: Cross multiply
    106,782.77x = 147,363.30 × 59,039.19
  4. Step 4: Simplify right side
    106,782.77x = 8,700,209,867.73
  5. Step 5: Solve for x
    x = 8,700,209,867.73/106,782.77
  6. Step 6: Final answer
    x = 81,475.78

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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.