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Finding the Fourth Proportional to 277,151.28, 382,439.16 and 156,289.92

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Solution

The fourth proportional to 277,151.28, 382,439.16 and 156,289.92 is: 215,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,151.28 : 382,439.16 = 156,289.92 : x
  2. Step 2: Convert to fraction form
    277,151.28/382,439.16 = 156,289.92/x
  3. Step 3: Cross multiply
    277,151.28x = 382,439.16 × 156,289.92
  4. Step 4: Simplify right side
    277,151.28x = 59,771,385,721.27
  5. Step 5: Solve for x
    x = 59,771,385,721.27/277,151.28
  6. Step 6: Final answer
    x = 215,663.39

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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.