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Finding the Fourth Proportional to 277,502.10, 415,582.20 and 158,813.61

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Solution

The fourth proportional to 277,502.10, 415,582.20 and 158,813.61 is: 237,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.10 : 415,582.20 = 158,813.61 : x
  2. Step 2: Convert to fraction form
    277,502.10/415,582.20 = 158,813.61/x
  3. Step 3: Cross multiply
    277,502.10x = 415,582.20 × 158,813.61
  4. Step 4: Simplify right side
    277,502.10x = 66,000,109,433.74
  5. Step 5: Solve for x
    x = 66,000,109,433.74/277,502.10
  6. Step 6: Final answer
    x = 237,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.