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Finding the Fourth Proportional to 242,418.62, 363,458.94 and 107,409.29

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Solution

The fourth proportional to 242,418.62, 363,458.94 and 107,409.29 is: 161,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,418.62 : 363,458.94 = 107,409.29 : x
  2. Step 2: Convert to fraction form
    242,418.62/363,458.94 = 107,409.29/x
  3. Step 3: Cross multiply
    242,418.62x = 363,458.94 × 107,409.29
  4. Step 4: Simplify right side
    242,418.62x = 39,038,866,689.55
  5. Step 5: Solve for x
    x = 39,038,866,689.55/242,418.62
  6. Step 6: Final answer
    x = 161,039.06

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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.