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Finding the Fourth Proportional to 205,431.40, 307,952.70 and 121,256.20

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Solution

The fourth proportional to 205,431.40, 307,952.70 and 121,256.20 is: 181,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.40 : 307,952.70 = 121,256.20 : x
  2. Step 2: Convert to fraction form
    205,431.40/307,952.70 = 121,256.20/x
  3. Step 3: Cross multiply
    205,431.40x = 307,952.70 × 121,256.20
  4. Step 4: Simplify right side
    205,431.40x = 37,341,174,181.74
  5. Step 5: Solve for x
    x = 37,341,174,181.74/205,431.40
  6. Step 6: Final answer
    x = 181,769.56

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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.