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Finding the Fourth Proportional to 185,049.64, 277,532.94 and 85,113.82

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Solution

The fourth proportional to 185,049.64, 277,532.94 and 85,113.82 is: 127,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,049.64 : 277,532.94 = 85,113.82 : x
  2. Step 2: Convert to fraction form
    185,049.64/277,532.94 = 85,113.82/x
  3. Step 3: Cross multiply
    185,049.64x = 277,532.94 × 85,113.82
  4. Step 4: Simplify right side
    185,049.64x = 23,621,888,699.23
  5. Step 5: Solve for x
    x = 23,621,888,699.23/185,049.64
  6. Step 6: Final answer
    x = 127,651.63

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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.