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Finding the Fourth Proportional to 277,827.80, 383,403.52 and 150,503.38

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Solution

The fourth proportional to 277,827.80, 383,403.52 and 150,503.38 is: 207,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,827.80 : 383,403.52 = 150,503.38 : x
  2. Step 2: Convert to fraction form
    277,827.80/383,403.52 = 150,503.38/x
  3. Step 3: Cross multiply
    277,827.80x = 383,403.52 × 150,503.38
  4. Step 4: Simplify right side
    277,827.80x = 57,703,525,663.90
  5. Step 5: Solve for x
    x = 57,703,525,663.90/277,827.80
  6. Step 6: Final answer
    x = 207,695.29

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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.