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Finding the Fourth Proportional to 185,057.46, 277,670.70 and 100,691.10

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Solution

The fourth proportional to 185,057.46, 277,670.70 and 100,691.10 is: 151,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,057.46 : 277,670.70 = 100,691.10 : x
  2. Step 2: Convert to fraction form
    185,057.46/277,670.70 = 100,691.10/x
  3. Step 3: Cross multiply
    185,057.46x = 277,670.70 × 100,691.10
  4. Step 4: Simplify right side
    185,057.46x = 27,958,968,220.77
  5. Step 5: Solve for x
    x = 27,958,968,220.77/185,057.46
  6. Step 6: Final answer
    x = 151,082.63

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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.