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Finding the Fourth Proportional to 201,414.39, 277,955.06 and 110,774.31

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Solution

The fourth proportional to 201,414.39, 277,955.06 and 110,774.31 is: 152,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.39 : 277,955.06 = 110,774.31 : x
  2. Step 2: Convert to fraction form
    201,414.39/277,955.06 = 110,774.31/x
  3. Step 3: Cross multiply
    201,414.39x = 277,955.06 × 110,774.31
  4. Step 4: Simplify right side
    201,414.39x = 30,790,279,428.64
  5. Step 5: Solve for x
    x = 30,790,279,428.64/201,414.39
  6. Step 6: Final answer
    x = 152,870.31

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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.