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Finding the Fourth Proportional to 185,222.76, 277,835.52 and 52,116.48

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Solution

The fourth proportional to 185,222.76, 277,835.52 and 52,116.48 is: 78,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,222.76 : 277,835.52 = 52,116.48 : x
  2. Step 2: Convert to fraction form
    185,222.76/277,835.52 = 52,116.48/x
  3. Step 3: Cross multiply
    185,222.76x = 277,835.52 × 52,116.48
  4. Step 4: Simplify right side
    185,222.76x = 14,479,809,321.37
  5. Step 5: Solve for x
    x = 14,479,809,321.37/185,222.76
  6. Step 6: Final answer
    x = 78,175.11

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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.