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Finding the Fourth Proportional to 196,523.90, 271,159.65 and 125,009

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Solution

The fourth proportional to 196,523.90, 271,159.65 and 125,009 is: 172,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,523.90 : 271,159.65 = 125,009 : x
  2. Step 2: Convert to fraction form
    196,523.90/271,159.65 = 125,009/x
  3. Step 3: Cross multiply
    196,523.90x = 271,159.65 × 125,009
  4. Step 4: Simplify right side
    196,523.90x = 33,897,396,686.85
  5. Step 5: Solve for x
    x = 33,897,396,686.85/196,523.90
  6. Step 6: Final answer
    x = 172,484.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.