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Finding the Fourth Proportional to 422,193.30, 633,355.56 and 141,776.16

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Solution

The fourth proportional to 422,193.30, 633,355.56 and 141,776.16 is: 212,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,193.30 : 633,355.56 = 141,776.16 : x
  2. Step 2: Convert to fraction form
    422,193.30/633,355.56 = 141,776.16/x
  3. Step 3: Cross multiply
    422,193.30x = 633,355.56 × 141,776.16
  4. Step 4: Simplify right side
    422,193.30x = 89,794,719,211.45
  5. Step 5: Solve for x
    x = 89,794,719,211.45/422,193.30
  6. Step 6: Final answer
    x = 212,686.27

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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.