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Finding the Fourth Proportional to 230,186.68, 317,706.64 and 154,691.44

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Solution

The fourth proportional to 230,186.68, 317,706.64 and 154,691.44 is: 213,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,186.68 : 317,706.64 = 154,691.44 : x
  2. Step 2: Convert to fraction form
    230,186.68/317,706.64 = 154,691.44/x
  3. Step 3: Cross multiply
    230,186.68x = 317,706.64 × 154,691.44
  4. Step 4: Simplify right side
    230,186.68x = 49,146,496,458.17
  5. Step 5: Solve for x
    x = 49,146,496,458.17/230,186.68
  6. Step 6: Final answer
    x = 213,507.13

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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.