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Finding the Fourth Proportional to 114,230.82, 171,354.87 and 35,353.02

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Solution

The fourth proportional to 114,230.82, 171,354.87 and 35,353.02 is: 53,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230.82 : 171,354.87 = 35,353.02 : x
  2. Step 2: Convert to fraction form
    114,230.82/171,354.87 = 35,353.02/x
  3. Step 3: Cross multiply
    114,230.82x = 171,354.87 × 35,353.02
  4. Step 4: Simplify right side
    114,230.82x = 6,057,912,146.21
  5. Step 5: Solve for x
    x = 6,057,912,146.21/114,230.82
  6. Step 6: Final answer
    x = 53,032.20

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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.