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Finding the Fourth Proportional to 154,266.30, 231,421.05 and 65,519.10

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Solution

The fourth proportional to 154,266.30, 231,421.05 and 65,519.10 is: 98,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,266.30 : 231,421.05 = 65,519.10 : x
  2. Step 2: Convert to fraction form
    154,266.30/231,421.05 = 65,519.10/x
  3. Step 3: Cross multiply
    154,266.30x = 231,421.05 × 65,519.10
  4. Step 4: Simplify right side
    154,266.30x = 15,162,498,917.06
  5. Step 5: Solve for x
    x = 15,162,498,917.06/154,266.30
  6. Step 6: Final answer
    x = 98,287.82

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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.