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Finding the Fourth Proportional to 251,902.25, 377,974.34 and 157,108.10

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Solution

The fourth proportional to 251,902.25, 377,974.34 and 157,108.10 is: 235,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,902.25 : 377,974.34 = 157,108.10 : x
  2. Step 2: Convert to fraction form
    251,902.25/377,974.34 = 157,108.10/x
  3. Step 3: Cross multiply
    251,902.25x = 377,974.34 × 157,108.10
  4. Step 4: Simplify right side
    251,902.25x = 59,382,830,621.03
  5. Step 5: Solve for x
    x = 59,382,830,621.03/251,902.25
  6. Step 6: Final answer
    x = 235,737.59

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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.