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Finding the Fourth Proportional to 205,826.40, 308,710.80 and 65,599.20

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Solution

The fourth proportional to 205,826.40, 308,710.80 and 65,599.20 is: 98,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,826.40 : 308,710.80 = 65,599.20 : x
  2. Step 2: Convert to fraction form
    205,826.40/308,710.80 = 65,599.20/x
  3. Step 3: Cross multiply
    205,826.40x = 308,710.80 × 65,599.20
  4. Step 4: Simplify right side
    205,826.40x = 20,251,181,511.36
  5. Step 5: Solve for x
    x = 20,251,181,511.36/205,826.40
  6. Step 6: Final answer
    x = 98,389.62

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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.