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Finding the Fourth Proportional to 242,537.14, 334,711.32 and 135,107.14

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Solution

The fourth proportional to 242,537.14, 334,711.32 and 135,107.14 is: 186,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,537.14 : 334,711.32 = 135,107.14 : x
  2. Step 2: Convert to fraction form
    242,537.14/334,711.32 = 135,107.14/x
  3. Step 3: Cross multiply
    242,537.14x = 334,711.32 × 135,107.14
  4. Step 4: Simplify right side
    242,537.14x = 45,221,889,170.82
  5. Step 5: Solve for x
    x = 45,221,889,170.82/242,537.14
  6. Step 6: Final answer
    x = 186,453.46

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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.