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Finding the Fourth Proportional to 251,944.34, 377,914.15 and 102,149.03

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Solution

The fourth proportional to 251,944.34, 377,914.15 and 102,149.03 is: 153,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,944.34 : 377,914.15 = 102,149.03 : x
  2. Step 2: Convert to fraction form
    251,944.34/377,914.15 = 102,149.03/x
  3. Step 3: Cross multiply
    251,944.34x = 377,914.15 × 102,149.03
  4. Step 4: Simplify right side
    251,944.34x = 38,603,561,700.83
  5. Step 5: Solve for x
    x = 38,603,561,700.83/251,944.34
  6. Step 6: Final answer
    x = 153,222.58

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