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Finding the Fourth Proportional to 154,074.40, 231,111.60 and 140,296.30

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Solution

The fourth proportional to 154,074.40, 231,111.60 and 140,296.30 is: 210,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,074.40 : 231,111.60 = 140,296.30 : x
  2. Step 2: Convert to fraction form
    154,074.40/231,111.60 = 140,296.30/x
  3. Step 3: Cross multiply
    154,074.40x = 231,111.60 × 140,296.30
  4. Step 4: Simplify right side
    154,074.40x = 32,424,102,367.08
  5. Step 5: Solve for x
    x = 32,424,102,367.08/154,074.40
  6. Step 6: Final answer
    x = 210,444.45

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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.