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Finding the Fourth Proportional to 196,551.90, 295,046.55 and 107,978.40

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Solution

The fourth proportional to 196,551.90, 295,046.55 and 107,978.40 is: 162,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,551.90 : 295,046.55 = 107,978.40 : x
  2. Step 2: Convert to fraction form
    196,551.90/295,046.55 = 107,978.40/x
  3. Step 3: Cross multiply
    196,551.90x = 295,046.55 × 107,978.40
  4. Step 4: Simplify right side
    196,551.90x = 31,858,654,394.52
  5. Step 5: Solve for x
    x = 31,858,654,394.52/196,551.90
  6. Step 6: Final answer
    x = 162,087.75

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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.