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Finding the Fourth Proportional to 122,967.40, 184,451.10 and 100,805.80

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Solution

The fourth proportional to 122,967.40, 184,451.10 and 100,805.80 is: 151,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967.40 : 184,451.10 = 100,805.80 : x
  2. Step 2: Convert to fraction form
    122,967.40/184,451.10 = 100,805.80/x
  3. Step 3: Cross multiply
    122,967.40x = 184,451.10 × 100,805.80
  4. Step 4: Simplify right side
    122,967.40x = 18,593,740,696.38
  5. Step 5: Solve for x
    x = 18,593,740,696.38/122,967.40
  6. Step 6: Final answer
    x = 151,208.70

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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.