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Finding the Fourth Proportional to 134,644.68, 201,966.39 and 34,796.39

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Solution

The fourth proportional to 134,644.68, 201,966.39 and 34,796.39 is: 52,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,644.68 : 201,966.39 = 34,796.39 : x
  2. Step 2: Convert to fraction form
    134,644.68/201,966.39 = 34,796.39/x
  3. Step 3: Cross multiply
    134,644.68x = 201,966.39 × 34,796.39
  4. Step 4: Simplify right side
    134,644.68x = 7,027,700,263.50
  5. Step 5: Solve for x
    x = 7,027,700,263.50/134,644.68
  6. Step 6: Final answer
    x = 52,194.41

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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.