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Finding the Fourth Proportional to 154,228.59, 212,772.83 and 100,494

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Solution

The fourth proportional to 154,228.59, 212,772.83 and 100,494 is: 138,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,228.59 : 212,772.83 = 100,494 : x
  2. Step 2: Convert to fraction form
    154,228.59/212,772.83 = 100,494/x
  3. Step 3: Cross multiply
    154,228.59x = 212,772.83 × 100,494
  4. Step 4: Simplify right side
    154,228.59x = 21,382,392,275.55
  5. Step 5: Solve for x
    x = 21,382,392,275.55/154,228.59
  6. Step 6: Final answer
    x = 138,640.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.