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Finding the Fourth Proportional to 133,796.91, 200,696.81 and 40,303.47

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Solution

The fourth proportional to 133,796.91, 200,696.81 and 40,303.47 is: 60,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796.91 : 200,696.81 = 40,303.47 : x
  2. Step 2: Convert to fraction form
    133,796.91/200,696.81 = 40,303.47/x
  3. Step 3: Cross multiply
    133,796.91x = 200,696.81 × 40,303.47
  4. Step 4: Simplify right side
    133,796.91x = 8,088,777,659.41
  5. Step 5: Solve for x
    x = 8,088,777,659.41/133,796.91
  6. Step 6: Final answer
    x = 60,455.64

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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.