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Finding the Fourth Proportional to 205,842.16, 308,757.48 and 65,609.20

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Solution

The fourth proportional to 205,842.16, 308,757.48 and 65,609.20 is: 98,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,842.16 : 308,757.48 = 65,609.20 : x
  2. Step 2: Convert to fraction form
    205,842.16/308,757.48 = 65,609.20/x
  3. Step 3: Cross multiply
    205,842.16x = 308,757.48 × 65,609.20
  4. Step 4: Simplify right side
    205,842.16x = 20,257,331,256.82
  5. Step 5: Solve for x
    x = 20,257,331,256.82/205,842.16
  6. Step 6: Final answer
    x = 98,411.96

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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.