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Finding the Fourth Proportional to 97,646.78, 146,319.45 and 65,932.55

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Solution

The fourth proportional to 97,646.78, 146,319.45 and 65,932.55 is: 98,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,646.78 : 146,319.45 = 65,932.55 : x
  2. Step 2: Convert to fraction form
    97,646.78/146,319.45 = 65,932.55/x
  3. Step 3: Cross multiply
    97,646.78x = 146,319.45 × 65,932.55
  4. Step 4: Simplify right side
    97,646.78x = 9,647,214,022.95
  5. Step 5: Solve for x
    x = 9,647,214,022.95/97,646.78
  6. Step 6: Final answer
    x = 98,797.05

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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.