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Finding the Fourth Proportional to 219,782.28, 329,808.78 and 86,639.88

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Solution

The fourth proportional to 219,782.28, 329,808.78 and 86,639.88 is: 130,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,782.28 : 329,808.78 = 86,639.88 : x
  2. Step 2: Convert to fraction form
    219,782.28/329,808.78 = 86,639.88/x
  3. Step 3: Cross multiply
    219,782.28x = 329,808.78 × 86,639.88
  4. Step 4: Simplify right side
    219,782.28x = 28,574,593,122.15
  5. Step 5: Solve for x
    x = 28,574,593,122.15/219,782.28
  6. Step 6: Final answer
    x = 130,013.18

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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.