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Finding the Fourth Proportional to 200,721.22, 301,093.17 and 88,454.14

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Solution

The fourth proportional to 200,721.22, 301,093.17 and 88,454.14 is: 132,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721.22 : 301,093.17 = 88,454.14 : x
  2. Step 2: Convert to fraction form
    200,721.22/301,093.17 = 88,454.14/x
  3. Step 3: Cross multiply
    200,721.22x = 301,093.17 × 88,454.14
  4. Step 4: Simplify right side
    200,721.22x = 26,632,937,412.22
  5. Step 5: Solve for x
    x = 26,632,937,412.22/200,721.22
  6. Step 6: Final answer
    x = 132,686.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.