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Finding the Fourth Proportional to 277,513.20, 416,464.20 and 119,854.80

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Solution

The fourth proportional to 277,513.20, 416,464.20 and 119,854.80 is: 179,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,513.20 : 416,464.20 = 119,854.80 : x
  2. Step 2: Convert to fraction form
    277,513.20/416,464.20 = 119,854.80/x
  3. Step 3: Cross multiply
    277,513.20x = 416,464.20 × 119,854.80
  4. Step 4: Simplify right side
    277,513.20x = 49,915,233,398.16
  5. Step 5: Solve for x
    x = 49,915,233,398.16/277,513.20
  6. Step 6: Final answer
    x = 179,866.16

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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.