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Finding the Fourth Proportional to 277,047.33, 415,594.58 and 87,456.98

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Solution

The fourth proportional to 277,047.33, 415,594.58 and 87,456.98 is: 131,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,047.33 : 415,594.58 = 87,456.98 : x
  2. Step 2: Convert to fraction form
    277,047.33/415,594.58 = 87,456.98/x
  3. Step 3: Cross multiply
    277,047.33x = 415,594.58 × 87,456.98
  4. Step 4: Simplify right side
    277,047.33x = 36,346,644,355.91
  5. Step 5: Solve for x
    x = 36,346,644,355.91/277,047.33
  6. Step 6: Final answer
    x = 131,192.91

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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.