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Finding the Fourth Proportional to 134,093.64, 200,834.28 and 64,022.16

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Solution

The fourth proportional to 134,093.64, 200,834.28 and 64,022.16 is: 95,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,093.64 : 200,834.28 = 64,022.16 : x
  2. Step 2: Convert to fraction form
    134,093.64/200,834.28 = 64,022.16/x
  3. Step 3: Cross multiply
    134,093.64x = 200,834.28 × 64,022.16
  4. Step 4: Simplify right side
    134,093.64x = 12,857,844,407.64
  5. Step 5: Solve for x
    x = 12,857,844,407.64/134,093.64
  6. Step 6: Final answer
    x = 95,887.06

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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.