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Finding the Fourth Proportional to 238,965.78, 358,449.66 and 96,813.80

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Solution

The fourth proportional to 238,965.78, 358,449.66 and 96,813.80 is: 145,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,965.78 : 358,449.66 = 96,813.80 : x
  2. Step 2: Convert to fraction form
    238,965.78/358,449.66 = 96,813.80/x
  3. Step 3: Cross multiply
    238,965.78x = 358,449.66 × 96,813.80
  4. Step 4: Simplify right side
    238,965.78x = 34,702,873,693.31
  5. Step 5: Solve for x
    x = 34,702,873,693.31/238,965.78
  6. Step 6: Final answer
    x = 145,221.10

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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.