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Finding the Fourth Proportional to 217,853.60, 326,715.60 and 84,657.20

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Solution

The fourth proportional to 217,853.60, 326,715.60 and 84,657.20 is: 126,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.60 : 326,715.60 = 84,657.20 : x
  2. Step 2: Convert to fraction form
    217,853.60/326,715.60 = 84,657.20/x
  3. Step 3: Cross multiply
    217,853.60x = 326,715.60 × 84,657.20
  4. Step 4: Simplify right side
    217,853.60x = 27,658,827,892.32
  5. Step 5: Solve for x
    x = 27,658,827,892.32/217,853.60
  6. Step 6: Final answer
    x = 126,960.62

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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.