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Finding the Fourth Proportional to 317,640.77, 476,168.75 and 137,613.08

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Solution

The fourth proportional to 317,640.77, 476,168.75 and 137,613.08 is: 206,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,640.77 : 476,168.75 = 137,613.08 : x
  2. Step 2: Convert to fraction form
    317,640.77/476,168.75 = 137,613.08/x
  3. Step 3: Cross multiply
    317,640.77x = 476,168.75 × 137,613.08
  4. Step 4: Simplify right side
    317,640.77x = 65,527,045,562.37
  5. Step 5: Solve for x
    x = 65,527,045,562.37/317,640.77
  6. Step 6: Final answer
    x = 206,292.93

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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.