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Finding the Fourth Proportional to 251,994.24, 377,947.62 and 85,782.24

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Solution

The fourth proportional to 251,994.24, 377,947.62 and 85,782.24 is: 128,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,994.24 : 377,947.62 = 85,782.24 : x
  2. Step 2: Convert to fraction form
    251,994.24/377,947.62 = 85,782.24/x
  3. Step 3: Cross multiply
    251,994.24x = 377,947.62 × 85,782.24
  4. Step 4: Simplify right side
    251,994.24x = 32,421,193,446.27
  5. Step 5: Solve for x
    x = 32,421,193,446.27/251,994.24
  6. Step 6: Final answer
    x = 128,658.47

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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.