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Finding the Fourth Proportional to 133,465.86, 200,104.29 and 66,858.48

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Solution

The fourth proportional to 133,465.86, 200,104.29 and 66,858.48 is: 100,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,465.86 : 200,104.29 = 66,858.48 : x
  2. Step 2: Convert to fraction form
    133,465.86/200,104.29 = 66,858.48/x
  3. Step 3: Cross multiply
    133,465.86x = 200,104.29 × 66,858.48
  4. Step 4: Simplify right side
    133,465.86x = 13,378,668,670.88
  5. Step 5: Solve for x
    x = 13,378,668,670.88/133,465.86
  6. Step 6: Final answer
    x = 100,240.38

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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.