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Finding the Fourth Proportional to 134,838.72, 202,286.88 and 51,732

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Solution

The fourth proportional to 134,838.72, 202,286.88 and 51,732 is: 77,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,838.72 : 202,286.88 = 51,732 : x
  2. Step 2: Convert to fraction form
    134,838.72/202,286.88 = 51,732/x
  3. Step 3: Cross multiply
    134,838.72x = 202,286.88 × 51,732
  4. Step 4: Simplify right side
    134,838.72x = 10,464,704,876.16
  5. Step 5: Solve for x
    x = 10,464,704,876.16/134,838.72
  6. Step 6: Final answer
    x = 77,609.05

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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.