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Finding the Fourth Proportional to 222,462.29, 333,690.62 and 53,984

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Solution

The fourth proportional to 222,462.29, 333,690.62 and 53,984 is: 80,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,462.29 : 333,690.62 = 53,984 : x
  2. Step 2: Convert to fraction form
    222,462.29/333,690.62 = 53,984/x
  3. Step 3: Cross multiply
    222,462.29x = 333,690.62 × 53,984
  4. Step 4: Simplify right side
    222,462.29x = 18,013,954,430.08
  5. Step 5: Solve for x
    x = 18,013,954,430.08/222,462.29
  6. Step 6: Final answer
    x = 80,975.32

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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.