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Finding the Fourth Proportional to 141,813.52, 212,757.18 and 53,074

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Solution

The fourth proportional to 141,813.52, 212,757.18 and 53,074 is: 79,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,813.52 : 212,757.18 = 53,074 : x
  2. Step 2: Convert to fraction form
    141,813.52/212,757.18 = 53,074/x
  3. Step 3: Cross multiply
    141,813.52x = 212,757.18 × 53,074
  4. Step 4: Simplify right side
    141,813.52x = 11,291,874,571.32
  5. Step 5: Solve for x
    x = 11,291,874,571.32/141,813.52
  6. Step 6: Final answer
    x = 79,624.81

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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.