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Finding the Fourth Proportional to 205,449.10, 283,518.36 and 114,805.29

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Solution

The fourth proportional to 205,449.10, 283,518.36 and 114,805.29 is: 158,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,449.10 : 283,518.36 = 114,805.29 : x
  2. Step 2: Convert to fraction form
    205,449.10/283,518.36 = 114,805.29/x
  3. Step 3: Cross multiply
    205,449.10x = 283,518.36 × 114,805.29
  4. Step 4: Simplify right side
    205,449.10x = 32,549,407,540.12
  5. Step 5: Solve for x
    x = 32,549,407,540.12/205,449.10
  6. Step 6: Final answer
    x = 158,430.52

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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.