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Finding the Fourth Proportional to 150,210.64, 207,291.25 and 82,233.94

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Solution

The fourth proportional to 150,210.64, 207,291.25 and 82,233.94 is: 113,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,210.64 : 207,291.25 = 82,233.94 : x
  2. Step 2: Convert to fraction form
    150,210.64/207,291.25 = 82,233.94/x
  3. Step 3: Cross multiply
    150,210.64x = 207,291.25 × 82,233.94
  4. Step 4: Simplify right side
    150,210.64x = 17,046,375,540.48
  5. Step 5: Solve for x
    x = 17,046,375,540.48/150,210.64
  6. Step 6: Final answer
    x = 113,483.14

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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.