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Finding the Fourth Proportional to 205,566.24, 308,348.40 and 65,335.68

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Solution

The fourth proportional to 205,566.24, 308,348.40 and 65,335.68 is: 98,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566.24 : 308,348.40 = 65,335.68 : x
  2. Step 2: Convert to fraction form
    205,566.24/308,348.40 = 65,335.68/x
  3. Step 3: Cross multiply
    205,566.24x = 308,348.40 × 65,335.68
  4. Step 4: Simplify right side
    205,566.24x = 20,146,152,390.91
  5. Step 5: Solve for x
    x = 20,146,152,390.91/205,566.24
  6. Step 6: Final answer
    x = 98,003.21

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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.