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Finding the Fourth Proportional to 222,145.20, 333,214.52 and 53,664.08

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Solution

The fourth proportional to 222,145.20, 333,214.52 and 53,664.08 is: 80,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,145.20 : 333,214.52 = 53,664.08 : x
  2. Step 2: Convert to fraction form
    222,145.20/333,214.52 = 53,664.08/x
  3. Step 3: Cross multiply
    222,145.20x = 333,214.52 × 53,664.08
  4. Step 4: Simplify right side
    222,145.20x = 17,881,650,658.44
  5. Step 5: Solve for x
    x = 17,881,650,658.44/222,145.20
  6. Step 6: Final answer
    x = 80,495.33

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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.