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Finding the Fourth Proportional to 134,064.09, 201,096 and 34,224.30

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Solution

The fourth proportional to 134,064.09, 201,096 and 34,224.30 is: 51,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,064.09 : 201,096 = 34,224.30 : x
  2. Step 2: Convert to fraction form
    134,064.09/201,096 = 34,224.30/x
  3. Step 3: Cross multiply
    134,064.09x = 201,096 × 34,224.30
  4. Step 4: Simplify right side
    134,064.09x = 6,882,369,832.80
  5. Step 5: Solve for x
    x = 6,882,369,832.80/134,064.09
  6. Step 6: Final answer
    x = 51,336.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.