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Finding the Fourth Proportional to 201,012.25, 277,397.11 and 119,356.80

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Solution

The fourth proportional to 201,012.25, 277,397.11 and 119,356.80 is: 164,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,012.25 : 277,397.11 = 119,356.80 : x
  2. Step 2: Convert to fraction form
    201,012.25/277,397.11 = 119,356.80/x
  3. Step 3: Cross multiply
    201,012.25x = 277,397.11 × 119,356.80
  4. Step 4: Simplify right side
    201,012.25x = 33,109,229,991.86
  5. Step 5: Solve for x
    x = 33,109,229,991.86/201,012.25
  6. Step 6: Final answer
    x = 164,712.50

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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.