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Finding the Fourth Proportional to 367,874.94, 551,695.76 and 157,456.38

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Solution

The fourth proportional to 367,874.94, 551,695.76 and 157,456.38 is: 236,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,874.94 : 551,695.76 = 157,456.38 : x
  2. Step 2: Convert to fraction form
    367,874.94/551,695.76 = 157,456.38/x
  3. Step 3: Cross multiply
    367,874.94x = 551,695.76 × 157,456.38
  4. Step 4: Simplify right side
    367,874.94x = 86,868,017,230.95
  5. Step 5: Solve for x
    x = 86,868,017,230.95/367,874.94
  6. Step 6: Final answer
    x = 236,134.64

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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.