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Finding the Fourth Proportional to 277,052.57, 415,602.44 and 87,462.23

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Solution

The fourth proportional to 277,052.57, 415,602.44 and 87,462.23 is: 131,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,052.57 : 415,602.44 = 87,462.23 : x
  2. Step 2: Convert to fraction form
    277,052.57/415,602.44 = 87,462.23/x
  3. Step 3: Cross multiply
    277,052.57x = 415,602.44 × 87,462.23
  4. Step 4: Simplify right side
    277,052.57x = 36,349,514,008.50
  5. Step 5: Solve for x
    x = 36,349,514,008.50/277,052.57
  6. Step 6: Final answer
    x = 131,200.78

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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.