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Finding the Fourth Proportional to 122,152.44, 183,345.30 and 75,496.44

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Solution

The fourth proportional to 122,152.44, 183,345.30 and 75,496.44 is: 113,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,152.44 : 183,345.30 = 75,496.44 : x
  2. Step 2: Convert to fraction form
    122,152.44/183,345.30 = 75,496.44/x
  3. Step 3: Cross multiply
    122,152.44x = 183,345.30 × 75,496.44
  4. Step 4: Simplify right side
    122,152.44x = 13,841,917,440.73
  5. Step 5: Solve for x
    x = 13,841,917,440.73/122,152.44
  6. Step 6: Final answer
    x = 113,316.75

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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.