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Finding the Fourth Proportional to 242,554.93, 363,882.79 and 102,314.77

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Solution

The fourth proportional to 242,554.93, 363,882.79 and 102,314.77 is: 153,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,554.93 : 363,882.79 = 102,314.77 : x
  2. Step 2: Convert to fraction form
    242,554.93/363,882.79 = 102,314.77/x
  3. Step 3: Cross multiply
    242,554.93x = 363,882.79 × 102,314.77
  4. Step 4: Simplify right side
    242,554.93x = 37,230,583,183.99
  5. Step 5: Solve for x
    x = 37,230,583,183.99/242,554.93
  6. Step 6: Final answer
    x = 153,493.41

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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.