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Finding the Fourth Proportional to 133,686.66, 200,574.65 and 43,733.47

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Solution

The fourth proportional to 133,686.66, 200,574.65 and 43,733.47 is: 65,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.66 : 200,574.65 = 43,733.47 : x
  2. Step 2: Convert to fraction form
    133,686.66/200,574.65 = 43,733.47/x
  3. Step 3: Cross multiply
    133,686.66x = 200,574.65 × 43,733.47
  4. Step 4: Simplify right side
    133,686.66x = 8,771,825,438.54
  5. Step 5: Solve for x
    x = 8,771,825,438.54/133,686.66
  6. Step 6: Final answer
    x = 65,614.81

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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.