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Finding the Fourth Proportional to 173,164.50, 238,964.68 and 96,684.78

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Solution

The fourth proportional to 173,164.50, 238,964.68 and 96,684.78 is: 133,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,164.50 : 238,964.68 = 96,684.78 : x
  2. Step 2: Convert to fraction form
    173,164.50/238,964.68 = 96,684.78/x
  3. Step 3: Cross multiply
    173,164.50x = 238,964.68 × 96,684.78
  4. Step 4: Simplify right side
    173,164.50x = 23,104,247,513.57
  5. Step 5: Solve for x
    x = 23,104,247,513.57/173,164.50
  6. Step 6: Final answer
    x = 133,423.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.