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Finding the Fourth Proportional to 200,719.22, 301,090.17 and 88,452.14

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Solution

The fourth proportional to 200,719.22, 301,090.17 and 88,452.14 is: 132,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719.22 : 301,090.17 = 88,452.14 : x
  2. Step 2: Convert to fraction form
    200,719.22/301,090.17 = 88,452.14/x
  3. Step 3: Cross multiply
    200,719.22x = 301,090.17 × 88,452.14
  4. Step 4: Simplify right side
    200,719.22x = 26,632,069,869.46
  5. Step 5: Solve for x
    x = 26,632,069,869.46/200,719.22
  6. Step 6: Final answer
    x = 132,683.21

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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.