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Finding the Fourth Proportional to 205,486.58, 283,570.50 and 114,842.44

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Solution

The fourth proportional to 205,486.58, 283,570.50 and 114,842.44 is: 158,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,486.58 : 283,570.50 = 114,842.44 : x
  2. Step 2: Convert to fraction form
    205,486.58/283,570.50 = 114,842.44/x
  3. Step 3: Cross multiply
    205,486.58x = 283,570.50 × 114,842.44
  4. Step 4: Simplify right side
    205,486.58x = 32,565,928,132.02
  5. Step 5: Solve for x
    x = 32,565,928,132.02/205,486.58
  6. Step 6: Final answer
    x = 158,482.02

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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.