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Finding the Fourth Proportional to 122,112.84, 183,157.92 and 47,187.84

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Solution

The fourth proportional to 122,112.84, 183,157.92 and 47,187.84 is: 70,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,112.84 : 183,157.92 = 47,187.84 : x
  2. Step 2: Convert to fraction form
    122,112.84/183,157.92 = 47,187.84/x
  3. Step 3: Cross multiply
    122,112.84x = 183,157.92 × 47,187.84
  4. Step 4: Simplify right side
    122,112.84x = 8,642,826,623.69
  5. Step 5: Solve for x
    x = 8,642,826,623.69/122,112.84
  6. Step 6: Final answer
    x = 70,777.38

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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.