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Finding the Fourth Proportional to 277,826.80, 383,402.14 and 150,502.38

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Solution

The fourth proportional to 277,826.80, 383,402.14 and 150,502.38 is: 207,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,826.80 : 383,402.14 = 150,502.38 : x
  2. Step 2: Convert to fraction form
    277,826.80/383,402.14 = 150,502.38/x
  3. Step 3: Cross multiply
    277,826.80x = 383,402.14 × 150,502.38
  4. Step 4: Simplify right side
    277,826.80x = 57,702,934,567.09
  5. Step 5: Solve for x
    x = 57,702,934,567.09/277,826.80
  6. Step 6: Final answer
    x = 207,693.91

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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.