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Finding the Fourth Proportional to 277,908.35, 383,472.11 and 157,048.66

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Solution

The fourth proportional to 277,908.35, 383,472.11 and 157,048.66 is: 216,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,908.35 : 383,472.11 = 157,048.66 : x
  2. Step 2: Convert to fraction form
    277,908.35/383,472.11 = 157,048.66/x
  3. Step 3: Cross multiply
    277,908.35x = 383,472.11 × 157,048.66
  4. Step 4: Simplify right side
    277,908.35x = 60,223,778,320.27
  5. Step 5: Solve for x
    x = 60,223,778,320.27/277,908.35
  6. Step 6: Final answer
    x = 216,703.74

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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.