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Finding the Fourth Proportional to 201,385.94, 277,917.10 and 110,736.14

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Solution

The fourth proportional to 201,385.94, 277,917.10 and 110,736.14 is: 152,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,385.94 : 277,917.10 = 110,736.14 : x
  2. Step 2: Convert to fraction form
    201,385.94/277,917.10 = 110,736.14/x
  3. Step 3: Cross multiply
    201,385.94x = 277,917.10 × 110,736.14
  4. Step 4: Simplify right side
    201,385.94x = 30,775,465,227.57
  5. Step 5: Solve for x
    x = 30,775,465,227.57/201,385.94
  6. Step 6: Final answer
    x = 152,818.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.