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Finding the Fourth Proportional to 133,360.40, 200,186.40 and 83,496.80

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Solution

The fourth proportional to 133,360.40, 200,186.40 and 83,496.80 is: 125,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,360.40 : 200,186.40 = 83,496.80 : x
  2. Step 2: Convert to fraction form
    133,360.40/200,186.40 = 83,496.80/x
  3. Step 3: Cross multiply
    133,360.40x = 200,186.40 × 83,496.80
  4. Step 4: Simplify right side
    133,360.40x = 16,714,923,803.52
  5. Step 5: Solve for x
    x = 16,714,923,803.52/133,360.40
  6. Step 6: Final answer
    x = 125,336.49

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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.