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Finding the Fourth Proportional to 122,902.71, 184,355.48 and 51,837.36

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Solution

The fourth proportional to 122,902.71, 184,355.48 and 51,837.36 is: 77,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,902.71 : 184,355.48 = 51,837.36 : x
  2. Step 2: Convert to fraction form
    122,902.71/184,355.48 = 51,837.36/x
  3. Step 3: Cross multiply
    122,902.71x = 184,355.48 × 51,837.36
  4. Step 4: Simplify right side
    122,902.71x = 9,556,501,384.73
  5. Step 5: Solve for x
    x = 9,556,501,384.73/122,902.71
  6. Step 6: Final answer
    x = 77,756.64

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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.