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Finding the Fourth Proportional to 206,845.40, 310,268.22 and 59,101.40

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Solution

The fourth proportional to 206,845.40, 310,268.22 and 59,101.40 is: 88,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,845.40 : 310,268.22 = 59,101.40 : x
  2. Step 2: Convert to fraction form
    206,845.40/310,268.22 = 59,101.40/x
  3. Step 3: Cross multiply
    206,845.40x = 310,268.22 × 59,101.40
  4. Step 4: Simplify right side
    206,845.40x = 18,337,286,177.51
  5. Step 5: Solve for x
    x = 18,337,286,177.51/206,845.40
  6. Step 6: Final answer
    x = 88,652.13

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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.