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Finding the Fourth Proportional to 196,866, 271,675.08 and 121,458.24

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Solution

The fourth proportional to 196,866, 271,675.08 and 121,458.24 is: 167,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,866 : 271,675.08 = 121,458.24 : x
  2. Step 2: Convert to fraction form
    196,866/271,675.08 = 121,458.24/x
  3. Step 3: Cross multiply
    196,866x = 271,675.08 × 121,458.24
  4. Step 4: Simplify right side
    196,866x = 32,997,177,068.66
  5. Step 5: Solve for x
    x = 32,997,177,068.66/196,866
  6. Step 6: Final answer
    x = 167,612.37

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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.