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Finding the Fourth Proportional to 201,481.97, 278,014.28 and 116,582.63

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Solution

The fourth proportional to 201,481.97, 278,014.28 and 116,582.63 is: 160,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,481.97 : 278,014.28 = 116,582.63 : x
  2. Step 2: Convert to fraction form
    201,481.97/278,014.28 = 116,582.63/x
  3. Step 3: Cross multiply
    201,481.97x = 278,014.28 × 116,582.63
  4. Step 4: Simplify right side
    201,481.97x = 32,411,633,966.97
  5. Step 5: Solve for x
    x = 32,411,633,966.97/201,481.97
  6. Step 6: Final answer
    x = 160,866.18

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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.