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Finding the Fourth Proportional to 205,422.40, 308,133.60 and 72,301.60

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Solution

The fourth proportional to 205,422.40, 308,133.60 and 72,301.60 is: 108,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.40 : 308,133.60 = 72,301.60 : x
  2. Step 2: Convert to fraction form
    205,422.40/308,133.60 = 72,301.60/x
  3. Step 3: Cross multiply
    205,422.40x = 308,133.60 × 72,301.60
  4. Step 4: Simplify right side
    205,422.40x = 22,278,552,293.76
  5. Step 5: Solve for x
    x = 22,278,552,293.76/205,422.40
  6. Step 6: Final answer
    x = 108,452.40

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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.