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Finding the Fourth Proportional to 171,184.94, 256,838.18 and 76,406.49

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Solution

The fourth proportional to 171,184.94, 256,838.18 and 76,406.49 is: 114,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,184.94 : 256,838.18 = 76,406.49 : x
  2. Step 2: Convert to fraction form
    171,184.94/256,838.18 = 76,406.49/x
  3. Step 3: Cross multiply
    171,184.94x = 256,838.18 × 76,406.49
  4. Step 4: Simplify right side
    171,184.94x = 19,624,103,449.76
  5. Step 5: Solve for x
    x = 19,624,103,449.76/171,184.94
  6. Step 6: Final answer
    x = 114,636.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.