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Finding the Fourth Proportional to 133,810.78, 200,716.26 and 33,978.46

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Solution

The fourth proportional to 133,810.78, 200,716.26 and 33,978.46 is: 50,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810.78 : 200,716.26 = 33,978.46 : x
  2. Step 2: Convert to fraction form
    133,810.78/200,716.26 = 33,978.46/x
  3. Step 3: Cross multiply
    133,810.78x = 200,716.26 × 33,978.46
  4. Step 4: Simplify right side
    133,810.78x = 6,820,029,411.76
  5. Step 5: Solve for x
    x = 6,820,029,411.76/133,810.78
  6. Step 6: Final answer
    x = 50,967.71

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1.5x scale

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.