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Finding the Fourth Proportional to 145,145.36, 200,294.16 and 81,481.88

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Solution

The fourth proportional to 145,145.36, 200,294.16 and 81,481.88 is: 112,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145.36 : 200,294.16 = 81,481.88 : x
  2. Step 2: Convert to fraction form
    145,145.36/200,294.16 = 81,481.88/x
  3. Step 3: Cross multiply
    145,145.36x = 200,294.16 × 81,481.88
  4. Step 4: Simplify right side
    145,145.36x = 16,320,344,709.82
  5. Step 5: Solve for x
    x = 16,320,344,709.82/145,145.36
  6. Step 6: Final answer
    x = 112,441.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.