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Finding the Fourth Proportional to 154,580.46, 231,568.74 and 106,540.47

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Solution

The fourth proportional to 154,580.46, 231,568.74 and 106,540.47 is: 159,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,580.46 : 231,568.74 = 106,540.47 : x
  2. Step 2: Convert to fraction form
    154,580.46/231,568.74 = 106,540.47/x
  3. Step 3: Cross multiply
    154,580.46x = 231,568.74 × 106,540.47
  4. Step 4: Simplify right side
    154,580.46x = 24,671,442,396.91
  5. Step 5: Solve for x
    x = 24,671,442,396.91/154,580.46
  6. Step 6: Final answer
    x = 159,602.59

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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.