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Finding the Fourth Proportional to 222,461.29, 333,689.12 and 53,983

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Solution

The fourth proportional to 222,461.29, 333,689.12 and 53,983 is: 80,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,461.29 : 333,689.12 = 53,983 : x
  2. Step 2: Convert to fraction form
    222,461.29/333,689.12 = 53,983/x
  3. Step 3: Cross multiply
    222,461.29x = 333,689.12 × 53,983
  4. Step 4: Simplify right side
    222,461.29x = 18,013,539,764.96
  5. Step 5: Solve for x
    x = 18,013,539,764.96/222,461.29
  6. Step 6: Final answer
    x = 80,973.82

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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.