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Finding the Fourth Proportional to 122,293, 183,470.22 and 34,741

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Solution

The fourth proportional to 122,293, 183,470.22 and 34,741 is: 52,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,293 : 183,470.22 = 34,741 : x
  2. Step 2: Convert to fraction form
    122,293/183,470.22 = 34,741/x
  3. Step 3: Cross multiply
    122,293x = 183,470.22 × 34,741
  4. Step 4: Simplify right side
    122,293x = 6,373,938,913.02
  5. Step 5: Solve for x
    x = 6,373,938,913.02/122,293
  6. Step 6: Final answer
    x = 52,120.23

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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.