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Finding the Fourth Proportional to 133,292.88, 199,939.29 and 53,366.82

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Solution

The fourth proportional to 133,292.88, 199,939.29 and 53,366.82 is: 80,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,292.88 : 199,939.29 = 53,366.82 : x
  2. Step 2: Convert to fraction form
    133,292.88/199,939.29 = 53,366.82/x
  3. Step 3: Cross multiply
    133,292.88x = 199,939.29 × 53,366.82
  4. Step 4: Simplify right side
    133,292.88x = 10,670,124,100.36
  5. Step 5: Solve for x
    x = 10,670,124,100.36/133,292.88
  6. Step 6: Final answer
    x = 80,050.22

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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.