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Finding the Fourth Proportional to 242,214.71, 363,322.26 and 115,825.14

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Solution

The fourth proportional to 242,214.71, 363,322.26 and 115,825.14 is: 173,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214.71 : 363,322.26 = 115,825.14 : x
  2. Step 2: Convert to fraction form
    242,214.71/363,322.26 = 115,825.14/x
  3. Step 3: Cross multiply
    242,214.71x = 363,322.26 × 115,825.14
  4. Step 4: Simplify right side
    242,214.71x = 42,081,851,629.62
  5. Step 5: Solve for x
    x = 42,081,851,629.62/242,214.71
  6. Step 6: Final answer
    x = 173,737.81

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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.