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Finding the Fourth Proportional to 242,130.26, 363,197.20 and 84,358.46

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Solution

The fourth proportional to 242,130.26, 363,197.20 and 84,358.46 is: 126,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,130.26 : 363,197.20 = 84,358.46 : x
  2. Step 2: Convert to fraction form
    242,130.26/363,197.20 = 84,358.46/x
  3. Step 3: Cross multiply
    242,130.26x = 363,197.20 × 84,358.46
  4. Step 4: Simplify right side
    242,130.26x = 30,638,756,468.31
  5. Step 5: Solve for x
    x = 30,638,756,468.31/242,130.26
  6. Step 6: Final answer
    x = 126,538.32

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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.