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Finding the Fourth Proportional to 277,882.70, 383,473.08 and 157,021.38

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Solution

The fourth proportional to 277,882.70, 383,473.08 and 157,021.38 is: 216,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,882.70 : 383,473.08 = 157,021.38 : x
  2. Step 2: Convert to fraction form
    277,882.70/383,473.08 = 157,021.38/x
  3. Step 3: Cross multiply
    277,882.70x = 383,473.08 × 157,021.38
  4. Step 4: Simplify right side
    277,882.70x = 60,213,472,214.45
  5. Step 5: Solve for x
    x = 60,213,472,214.45/277,882.70
  6. Step 6: Final answer
    x = 216,686.65

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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.