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Finding the Fourth Proportional to 154,285.34, 231,457.20 and 54,434.20

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Solution

The fourth proportional to 154,285.34, 231,457.20 and 54,434.20 is: 81,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,285.34 : 231,457.20 = 54,434.20 : x
  2. Step 2: Convert to fraction form
    154,285.34/231,457.20 = 54,434.20/x
  3. Step 3: Cross multiply
    154,285.34x = 231,457.20 × 54,434.20
  4. Step 4: Simplify right side
    154,285.34x = 12,599,187,516.24
  5. Step 5: Solve for x
    x = 12,599,187,516.24/154,285.34
  6. Step 6: Final answer
    x = 81,661.60

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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.