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Finding the Fourth Proportional to 201,489.29, 278,044.24 and 110,830.62

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Solution

The fourth proportional to 201,489.29, 278,044.24 and 110,830.62 is: 152,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,489.29 : 278,044.24 = 110,830.62 : x
  2. Step 2: Convert to fraction form
    201,489.29/278,044.24 = 110,830.62/x
  3. Step 3: Cross multiply
    201,489.29x = 278,044.24 × 110,830.62
  4. Step 4: Simplify right side
    201,489.29x = 30,815,815,506.63
  5. Step 5: Solve for x
    x = 30,815,815,506.63/201,489.29
  6. Step 6: Final answer
    x = 152,940.22

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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.