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Finding the Fourth Proportional to 122,615.68, 183,769.62 and 52,412.44

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Solution

The fourth proportional to 122,615.68, 183,769.62 and 52,412.44 is: 78,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,615.68 : 183,769.62 = 52,412.44 : x
  2. Step 2: Convert to fraction form
    122,615.68/183,769.62 = 52,412.44/x
  3. Step 3: Cross multiply
    122,615.68x = 183,769.62 × 52,412.44
  4. Step 4: Simplify right side
    122,615.68x = 9,631,814,182.07
  5. Step 5: Solve for x
    x = 9,631,814,182.07/122,615.68
  6. Step 6: Final answer
    x = 78,552.87

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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.