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Finding the Fourth Proportional to 208,197, 312,304.14 and 60,453

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Solution

The fourth proportional to 208,197, 312,304.14 and 60,453 is: 90,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197 : 312,304.14 = 60,453 : x
  2. Step 2: Convert to fraction form
    208,197/312,304.14 = 60,453/x
  3. Step 3: Cross multiply
    208,197x = 312,304.14 × 60,453
  4. Step 4: Simplify right side
    208,197x = 18,879,722,175.42
  5. Step 5: Solve for x
    x = 18,879,722,175.42/208,197
  6. Step 6: Final answer
    x = 90,682.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.