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Finding the Fourth Proportional to 221,204.25, 331,807.59 and 54,992.25

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Solution

The fourth proportional to 221,204.25, 331,807.59 and 54,992.25 is: 82,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,204.25 : 331,807.59 = 54,992.25 : x
  2. Step 2: Convert to fraction form
    221,204.25/331,807.59 = 54,992.25/x
  3. Step 3: Cross multiply
    221,204.25x = 331,807.59 × 54,992.25
  4. Step 4: Simplify right side
    221,204.25x = 18,246,845,941.18
  5. Step 5: Solve for x
    x = 18,246,845,941.18/221,204.25
  6. Step 6: Final answer
    x = 82,488.68

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1.5x scale

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.