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Finding the Fourth Proportional to 201,410.21, 277,940.52 and 110,766.17

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Solution

The fourth proportional to 201,410.21, 277,940.52 and 110,766.17 is: 152,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.21 : 277,940.52 = 110,766.17 : x
  2. Step 2: Convert to fraction form
    201,410.21/277,940.52 = 110,766.17/x
  3. Step 3: Cross multiply
    201,410.21x = 277,940.52 × 110,766.17
  4. Step 4: Simplify right side
    201,410.21x = 30,786,405,498.51
  5. Step 5: Solve for x
    x = 30,786,405,498.51/201,410.21
  6. Step 6: Final answer
    x = 152,854.25

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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.