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Finding the Fourth Proportional to 277,468.92, 382,927.50 and 156,620.97

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Solution

The fourth proportional to 277,468.92, 382,927.50 and 156,620.97 is: 216,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,468.92 : 382,927.50 = 156,620.97 : x
  2. Step 2: Convert to fraction form
    277,468.92/382,927.50 = 156,620.97/x
  3. Step 3: Cross multiply
    277,468.92x = 382,927.50 × 156,620.97
  4. Step 4: Simplify right side
    277,468.92x = 59,974,476,489.68
  5. Step 5: Solve for x
    x = 59,974,476,489.68/277,468.92
  6. Step 6: Final answer
    x = 216,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.