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Finding the Fourth Proportional to 145,553.38, 200,847.42 and 81,889.82

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Solution

The fourth proportional to 145,553.38, 200,847.42 and 81,889.82 is: 112,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,553.38 : 200,847.42 = 81,889.82 : x
  2. Step 2: Convert to fraction form
    145,553.38/200,847.42 = 81,889.82/x
  3. Step 3: Cross multiply
    145,553.38x = 200,847.42 × 81,889.82
  4. Step 4: Simplify right side
    145,553.38x = 16,447,359,071.26
  5. Step 5: Solve for x
    x = 16,447,359,071.26/145,553.38
  6. Step 6: Final answer
    x = 112,998.81

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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.