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Finding the Fourth Proportional to 205,402.62, 283,453.69 and 114,774.20

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Solution

The fourth proportional to 205,402.62, 283,453.69 and 114,774.20 is: 158,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,402.62 : 283,453.69 = 114,774.20 : x
  2. Step 2: Convert to fraction form
    205,402.62/283,453.69 = 114,774.20/x
  3. Step 3: Cross multiply
    205,402.62x = 283,453.69 × 114,774.20
  4. Step 4: Simplify right side
    205,402.62x = 32,533,170,506.80
  5. Step 5: Solve for x
    x = 32,533,170,506.80/205,402.62
  6. Step 6: Final answer
    x = 158,387.32

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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.