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Finding the Fourth Proportional to 277,132.33, 415,699.37 and 77,451.40

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Solution

The fourth proportional to 277,132.33, 415,699.37 and 77,451.40 is: 116,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,132.33 : 415,699.37 = 77,451.40 : x
  2. Step 2: Convert to fraction form
    277,132.33/415,699.37 = 77,451.40/x
  3. Step 3: Cross multiply
    277,132.33x = 415,699.37 × 77,451.40
  4. Step 4: Simplify right side
    277,132.33x = 32,196,498,185.62
  5. Step 5: Solve for x
    x = 32,196,498,185.62/277,132.33
  6. Step 6: Final answer
    x = 116,177.34

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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.