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Finding the Fourth Proportional to 185,134.64, 277,658.60 and 52,027.60

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Solution

The fourth proportional to 185,134.64, 277,658.60 and 52,027.60 is: 78,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,134.64 : 277,658.60 = 52,027.60 : x
  2. Step 2: Convert to fraction form
    185,134.64/277,658.60 = 52,027.60/x
  3. Step 3: Cross multiply
    185,134.64x = 277,658.60 × 52,027.60
  4. Step 4: Simplify right side
    185,134.64x = 14,445,910,577.36
  5. Step 5: Solve for x
    x = 14,445,910,577.36/185,134.64
  6. Step 6: Final answer
    x = 78,029.21

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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.