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Finding the Fourth Proportional to 230,143.53, 317,696.28 and 154,735.77

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Solution

The fourth proportional to 230,143.53, 317,696.28 and 154,735.77 is: 213,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,143.53 : 317,696.28 = 154,735.77 : x
  2. Step 2: Convert to fraction form
    230,143.53/317,696.28 = 154,735.77/x
  3. Step 3: Cross multiply
    230,143.53x = 317,696.28 × 154,735.77
  4. Step 4: Simplify right side
    230,143.53x = 49,158,978,511.94
  5. Step 5: Solve for x
    x = 49,158,978,511.94/230,143.53
  6. Step 6: Final answer
    x = 213,601.39

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1.5x scale

Why These Related Problems?

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