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Finding the Fourth Proportional to 205,334.78, 283,359.01 and 114,692.04

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Solution

The fourth proportional to 205,334.78, 283,359.01 and 114,692.04 is: 158,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,334.78 : 283,359.01 = 114,692.04 : x
  2. Step 2: Convert to fraction form
    205,334.78/283,359.01 = 114,692.04/x
  3. Step 3: Cross multiply
    205,334.78x = 283,359.01 × 114,692.04
  4. Step 4: Simplify right side
    205,334.78x = 32,499,022,909.28
  5. Step 5: Solve for x
    x = 32,499,022,909.28/205,334.78
  6. Step 6: Final answer
    x = 158,273.35

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Why These Related Problems?

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