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Finding the Fourth Proportional to 205,764.60, 308,646.90 and 65,537.40

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Solution

The fourth proportional to 205,764.60, 308,646.90 and 65,537.40 is: 98,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,764.60 : 308,646.90 = 65,537.40 : x
  2. Step 2: Convert to fraction form
    205,764.60/308,646.90 = 65,537.40/x
  3. Step 3: Cross multiply
    205,764.60x = 308,646.90 × 65,537.40
  4. Step 4: Simplify right side
    205,764.60x = 20,227,915,344.06
  5. Step 5: Solve for x
    x = 20,227,915,344.06/205,764.60
  6. Step 6: Final answer
    x = 98,306.10

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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.