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Finding the Fourth Proportional to 141,178.94, 194,830.08 and 77,517

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Solution

The fourth proportional to 141,178.94, 194,830.08 and 77,517 is: 106,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,178.94 : 194,830.08 = 77,517 : x
  2. Step 2: Convert to fraction form
    141,178.94/194,830.08 = 77,517/x
  3. Step 3: Cross multiply
    141,178.94x = 194,830.08 × 77,517
  4. Step 4: Simplify right side
    141,178.94x = 15,102,643,311.36
  5. Step 5: Solve for x
    x = 15,102,643,311.36/141,178.94
  6. Step 6: Final answer
    x = 106,975.19

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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.