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Finding the Fourth Proportional to 242,414.60, 334,542 and 134,977.82

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Solution

The fourth proportional to 242,414.60, 334,542 and 134,977.82 is: 186,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,414.60 : 334,542 = 134,977.82 : x
  2. Step 2: Convert to fraction form
    242,414.60/334,542 = 134,977.82/x
  3. Step 3: Cross multiply
    242,414.60x = 334,542 × 134,977.82
  4. Step 4: Simplify right side
    242,414.60x = 45,155,749,858.44
  5. Step 5: Solve for x
    x = 45,155,749,858.44/242,414.60
  6. Step 6: Final answer
    x = 186,274.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.