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Finding the Fourth Proportional to 242,745.57, 364,233.92 and 109,666.53

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Solution

The fourth proportional to 242,745.57, 364,233.92 and 109,666.53 is: 164,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,745.57 : 364,233.92 = 109,666.53 : x
  2. Step 2: Convert to fraction form
    242,745.57/364,233.92 = 109,666.53/x
  3. Step 3: Cross multiply
    242,745.57x = 364,233.92 × 109,666.53
  4. Step 4: Simplify right side
    242,745.57x = 39,944,269,566.36
  5. Step 5: Solve for x
    x = 39,944,269,566.36/242,745.57
  6. Step 6: Final answer
    x = 164,552.00

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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.