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Finding the Fourth Proportional to 134,094.92, 201,142.37 and 34,255.33

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Solution

The fourth proportional to 134,094.92, 201,142.37 and 34,255.33 is: 51,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,094.92 : 201,142.37 = 34,255.33 : x
  2. Step 2: Convert to fraction form
    134,094.92/201,142.37 = 34,255.33/x
  3. Step 3: Cross multiply
    134,094.92x = 201,142.37 × 34,255.33
  4. Step 4: Simplify right side
    134,094.92x = 6,890,197,844.11
  5. Step 5: Solve for x
    x = 6,890,197,844.11/134,094.92
  6. Step 6: Final answer
    x = 51,382.99

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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.