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Finding the Fourth Proportional to 222,545.28, 333,584.64 and 82,214.40

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Solution

The fourth proportional to 222,545.28, 333,584.64 and 82,214.40 is: 123,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,545.28 : 333,584.64 = 82,214.40 : x
  2. Step 2: Convert to fraction form
    222,545.28/333,584.64 = 82,214.40/x
  3. Step 3: Cross multiply
    222,545.28x = 333,584.64 × 82,214.40
  4. Step 4: Simplify right side
    222,545.28x = 27,425,461,026.82
  5. Step 5: Solve for x
    x = 27,425,461,026.82/222,545.28
  6. Step 6: Final answer
    x = 123,235.42

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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.