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Finding the Fourth Proportional to 122,602.73, 183,975.17 and 51,519.77

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Solution

The fourth proportional to 122,602.73, 183,975.17 and 51,519.77 is: 77,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,602.73 : 183,975.17 = 51,519.77 : x
  2. Step 2: Convert to fraction form
    122,602.73/183,975.17 = 51,519.77/x
  3. Step 3: Cross multiply
    122,602.73x = 183,975.17 × 51,519.77
  4. Step 4: Simplify right side
    122,602.73x = 9,478,357,266.64
  5. Step 5: Solve for x
    x = 9,478,357,266.64/122,602.73
  6. Step 6: Final answer
    x = 77,309.52

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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.