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Finding the Fourth Proportional to 133,220.44, 183,838.74 and 72,793.16

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Solution

The fourth proportional to 133,220.44, 183,838.74 and 72,793.16 is: 100,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,220.44 : 183,838.74 = 72,793.16 : x
  2. Step 2: Convert to fraction form
    133,220.44/183,838.74 = 72,793.16/x
  3. Step 3: Cross multiply
    133,220.44x = 183,838.74 × 72,793.16
  4. Step 4: Simplify right side
    133,220.44x = 13,382,202,815.02
  5. Step 5: Solve for x
    x = 13,382,202,815.02/133,220.44
  6. Step 6: Final answer
    x = 100,451.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.