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Finding the Fourth Proportional to 219,708.64, 329,533.80 and 61,949.80

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Solution

The fourth proportional to 219,708.64, 329,533.80 and 61,949.80 is: 92,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,708.64 : 329,533.80 = 61,949.80 : x
  2. Step 2: Convert to fraction form
    219,708.64/329,533.80 = 61,949.80/x
  3. Step 3: Cross multiply
    219,708.64x = 329,533.80 × 61,949.80
  4. Step 4: Simplify right side
    219,708.64x = 20,414,553,003.24
  5. Step 5: Solve for x
    x = 20,414,553,003.24/219,708.64
  6. Step 6: Final answer
    x = 92,916.48

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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.