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Finding the Fourth Proportional to 222,465.28, 333,695.14 and 53,987

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Solution

The fourth proportional to 222,465.28, 333,695.14 and 53,987 is: 80,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,465.28 : 333,695.14 = 53,987 : x
  2. Step 2: Convert to fraction form
    222,465.28/333,695.14 = 53,987/x
  3. Step 3: Cross multiply
    222,465.28x = 333,695.14 × 53,987
  4. Step 4: Simplify right side
    222,465.28x = 18,015,199,253.25
  5. Step 5: Solve for x
    x = 18,015,199,253.25/222,465.28
  6. Step 6: Final answer
    x = 80,979.82

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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.