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Finding the Fourth Proportional to 277,732.92, 416,599.99 and 100,365.20

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Solution

The fourth proportional to 277,732.92, 416,599.99 and 100,365.20 is: 150,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,732.92 : 416,599.99 = 100,365.20 : x
  2. Step 2: Convert to fraction form
    277,732.92/416,599.99 = 100,365.20/x
  3. Step 3: Cross multiply
    277,732.92x = 416,599.99 × 100,365.20
  4. Step 4: Simplify right side
    277,732.92x = 41,812,139,233.35
  5. Step 5: Solve for x
    x = 41,812,139,233.35/277,732.92
  6. Step 6: Final answer
    x = 150,548.01

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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.