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Finding the Fourth Proportional to 205,684.30, 308,549.13 and 65,410.12

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Solution

The fourth proportional to 205,684.30, 308,549.13 and 65,410.12 is: 98,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,684.30 : 308,549.13 = 65,410.12 : x
  2. Step 2: Convert to fraction form
    205,684.30/308,549.13 = 65,410.12/x
  3. Step 3: Cross multiply
    205,684.30x = 308,549.13 × 65,410.12
  4. Step 4: Simplify right side
    205,684.30x = 20,182,235,619.20
  5. Step 5: Solve for x
    x = 20,182,235,619.20/205,684.30
  6. Step 6: Final answer
    x = 98,122.39

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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.