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Finding the Fourth Proportional to 219,812.90, 329,719.35 and 200,567.30

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Solution

The fourth proportional to 219,812.90, 329,719.35 and 200,567.30 is: 300,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,812.90 : 329,719.35 = 200,567.30 : x
  2. Step 2: Convert to fraction form
    219,812.90/329,719.35 = 200,567.30/x
  3. Step 3: Cross multiply
    219,812.90x = 329,719.35 × 200,567.30
  4. Step 4: Simplify right side
    219,812.90x = 66,130,919,787.26
  5. Step 5: Solve for x
    x = 66,130,919,787.26/219,812.90
  6. Step 6: Final answer
    x = 300,850.95

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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.