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Finding the Fourth Proportional to 256,476.21, 384,696.08 and 78,964.71

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Solution

The fourth proportional to 256,476.21, 384,696.08 and 78,964.71 is: 118,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,476.21 : 384,696.08 = 78,964.71 : x
  2. Step 2: Convert to fraction form
    256,476.21/384,696.08 = 78,964.71/x
  3. Step 3: Cross multiply
    256,476.21x = 384,696.08 × 78,964.71
  4. Step 4: Simplify right side
    256,476.21x = 30,377,414,395.34
  5. Step 5: Solve for x
    x = 30,377,414,395.34/256,476.21
  6. Step 6: Final answer
    x = 118,441.45

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Why These Related Problems?

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