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Finding the Fourth Proportional to 78,340.14, 108,322.02 and 77,074.02

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Solution

The fourth proportional to 78,340.14, 108,322.02 and 77,074.02 is: 106,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,340.14 : 108,322.02 = 77,074.02 : x
  2. Step 2: Convert to fraction form
    78,340.14/108,322.02 = 77,074.02/x
  3. Step 3: Cross multiply
    78,340.14x = 108,322.02 × 77,074.02
  4. Step 4: Simplify right side
    78,340.14x = 8,348,813,535.92
  5. Step 5: Solve for x
    x = 8,348,813,535.92/78,340.14
  6. Step 6: Final answer
    x = 106,571.34

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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.