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Finding the Fourth Proportional to 201,451.70, 302,177.55 and 131,410.10

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Solution

The fourth proportional to 201,451.70, 302,177.55 and 131,410.10 is: 197,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,451.70 : 302,177.55 = 131,410.10 : x
  2. Step 2: Convert to fraction form
    201,451.70/302,177.55 = 131,410.10/x
  3. Step 3: Cross multiply
    201,451.70x = 302,177.55 × 131,410.10
  4. Step 4: Simplify right side
    201,451.70x = 39,709,182,063.26
  5. Step 5: Solve for x
    x = 39,709,182,063.26/201,451.70
  6. Step 6: Final answer
    x = 197,115.15

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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.