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Finding the Fourth Proportional to 205,431.90, 307,953.45 and 121,256.70

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Solution

The fourth proportional to 205,431.90, 307,953.45 and 121,256.70 is: 181,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.90 : 307,953.45 = 121,256.70 : x
  2. Step 2: Convert to fraction form
    205,431.90/307,953.45 = 121,256.70/x
  3. Step 3: Cross multiply
    205,431.90x = 307,953.45 × 121,256.70
  4. Step 4: Simplify right side
    205,431.90x = 37,341,419,100.62
  5. Step 5: Solve for x
    x = 37,341,419,100.62/205,431.90
  6. Step 6: Final answer
    x = 181,770.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.