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Finding the Fourth Proportional to 120,649.78, 166,501.14 and 72,893.89

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Solution

The fourth proportional to 120,649.78, 166,501.14 and 72,893.89 is: 100,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.78 : 166,501.14 = 72,893.89 : x
  2. Step 2: Convert to fraction form
    120,649.78/166,501.14 = 72,893.89/x
  3. Step 3: Cross multiply
    120,649.78x = 166,501.14 × 72,893.89
  4. Step 4: Simplify right side
    120,649.78x = 12,136,915,784.03
  5. Step 5: Solve for x
    x = 12,136,915,784.03/120,649.78
  6. Step 6: Final answer
    x = 100,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.