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Finding the Fourth Proportional to 128,834.28, 193,256.82 and 35,338.68

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Solution

The fourth proportional to 128,834.28, 193,256.82 and 35,338.68 is: 53,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,834.28 : 193,256.82 = 35,338.68 : x
  2. Step 2: Convert to fraction form
    128,834.28/193,256.82 = 35,338.68/x
  3. Step 3: Cross multiply
    128,834.28x = 193,256.82 × 35,338.68
  4. Step 4: Simplify right side
    128,834.28x = 6,829,440,919.80
  5. Step 5: Solve for x
    x = 6,829,440,919.80/128,834.28
  6. Step 6: Final answer
    x = 53,009.50

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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.