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Finding the Fourth Proportional to 213,158.60, 319,743 and 100,891.16

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Solution

The fourth proportional to 213,158.60, 319,743 and 100,891.16 is: 151,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.60 : 319,743 = 100,891.16 : x
  2. Step 2: Convert to fraction form
    213,158.60/319,743 = 100,891.16/x
  3. Step 3: Cross multiply
    213,158.60x = 319,743 × 100,891.16
  4. Step 4: Simplify right side
    213,158.60x = 32,259,242,171.88
  5. Step 5: Solve for x
    x = 32,259,242,171.88/213,158.60
  6. Step 6: Final answer
    x = 151,339.15

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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.