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Finding the Fourth Proportional to 185,231.67, 277,858.35 and 52,122.30

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Solution

The fourth proportional to 185,231.67, 277,858.35 and 52,122.30 is: 78,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,231.67 : 277,858.35 = 52,122.30 : x
  2. Step 2: Convert to fraction form
    185,231.67/277,858.35 = 52,122.30/x
  3. Step 3: Cross multiply
    185,231.67x = 277,858.35 × 52,122.30
  4. Step 4: Simplify right side
    185,231.67x = 14,482,616,276.21
  5. Step 5: Solve for x
    x = 14,482,616,276.21/185,231.67
  6. Step 6: Final answer
    x = 78,186.50

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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.