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Finding the Fourth Proportional to 219,963.92, 329,797.76 and 101,570

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Solution

The fourth proportional to 219,963.92, 329,797.76 and 101,570 is: 152,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,963.92 : 329,797.76 = 101,570 : x
  2. Step 2: Convert to fraction form
    219,963.92/329,797.76 = 101,570/x
  3. Step 3: Cross multiply
    219,963.92x = 329,797.76 × 101,570
  4. Step 4: Simplify right side
    219,963.92x = 33,497,558,483.20
  5. Step 5: Solve for x
    x = 33,497,558,483.20/219,963.92
  6. Step 6: Final answer
    x = 152,286.60

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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.