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Finding the Fourth Proportional to 206,719.13, 310,078.76 and 66,477.75

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Solution

The fourth proportional to 206,719.13, 310,078.76 and 66,477.75 is: 99,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,719.13 : 310,078.76 = 66,477.75 : x
  2. Step 2: Convert to fraction form
    206,719.13/310,078.76 = 66,477.75/x
  3. Step 3: Cross multiply
    206,719.13x = 310,078.76 × 66,477.75
  4. Step 4: Simplify right side
    206,719.13x = 20,613,337,955.20
  5. Step 5: Solve for x
    x = 20,613,337,955.20/206,719.13
  6. Step 6: Final answer
    x = 99,716.65

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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.