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Finding the Fourth Proportional to 122,961.40, 184,442.10 and 67,665.40

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Solution

The fourth proportional to 122,961.40, 184,442.10 and 67,665.40 is: 101,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,961.40 : 184,442.10 = 67,665.40 : x
  2. Step 2: Convert to fraction form
    122,961.40/184,442.10 = 67,665.40/x
  3. Step 3: Cross multiply
    122,961.40x = 184,442.10 × 67,665.40
  4. Step 4: Simplify right side
    122,961.40x = 12,480,348,473.34
  5. Step 5: Solve for x
    x = 12,480,348,473.34/122,961.40
  6. Step 6: Final answer
    x = 101,498.10

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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.