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Finding the Fourth Proportional to 201,354.31, 277,869.66 and 110,715.97

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Solution

The fourth proportional to 201,354.31, 277,869.66 and 110,715.97 is: 152,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,354.31 : 277,869.66 = 110,715.97 : x
  2. Step 2: Convert to fraction form
    201,354.31/277,869.66 = 110,715.97/x
  3. Step 3: Cross multiply
    201,354.31x = 277,869.66 × 110,715.97
  4. Step 4: Simplify right side
    201,354.31x = 30,764,608,386.89
  5. Step 5: Solve for x
    x = 30,764,608,386.89/201,354.31
  6. Step 6: Final answer
    x = 152,788.43

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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.