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Finding the Fourth Proportional to 154,414.64, 231,572.75 and 49,209

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Solution

The fourth proportional to 154,414.64, 231,572.75 and 49,209 is: 73,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414.64 : 231,572.75 = 49,209 : x
  2. Step 2: Convert to fraction form
    154,414.64/231,572.75 = 49,209/x
  3. Step 3: Cross multiply
    154,414.64x = 231,572.75 × 49,209
  4. Step 4: Simplify right side
    154,414.64x = 11,395,463,208.71
  5. Step 5: Solve for x
    x = 11,395,463,208.71/154,414.64
  6. Step 6: Final answer
    x = 73,797.82

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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.