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Finding the Fourth Proportional to 201,410.52, 277,949.91 and 115,377.03

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Solution

The fourth proportional to 201,410.52, 277,949.91 and 115,377.03 is: 159,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.52 : 277,949.91 = 115,377.03 : x
  2. Step 2: Convert to fraction form
    201,410.52/277,949.91 = 115,377.03/x
  3. Step 3: Cross multiply
    201,410.52x = 277,949.91 × 115,377.03
  4. Step 4: Simplify right side
    201,410.52x = 32,069,035,104.57
  5. Step 5: Solve for x
    x = 32,069,035,104.57/201,410.52
  6. Step 6: Final answer
    x = 159,222.24

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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.