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Finding the Fourth Proportional to 141,832, 212,784.45 and 53,086.78

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Solution

The fourth proportional to 141,832, 212,784.45 and 53,086.78 is: 79,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,832 : 212,784.45 = 53,086.78 : x
  2. Step 2: Convert to fraction form
    141,832/212,784.45 = 53,086.78/x
  3. Step 3: Cross multiply
    141,832x = 212,784.45 × 53,086.78
  4. Step 4: Simplify right side
    141,832x = 11,296,041,284.57
  5. Step 5: Solve for x
    x = 11,296,041,284.57/141,832
  6. Step 6: Final answer
    x = 79,643.81

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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.