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Finding the Fourth Proportional to 122,965.70, 184,416.15 and 38,725.70

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Solution

The fourth proportional to 122,965.70, 184,416.15 and 38,725.70 is: 58,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,965.70 : 184,416.15 = 38,725.70 : x
  2. Step 2: Convert to fraction form
    122,965.70/184,416.15 = 38,725.70/x
  3. Step 3: Cross multiply
    122,965.70x = 184,416.15 × 38,725.70
  4. Step 4: Simplify right side
    122,965.70x = 7,141,644,500.06
  5. Step 5: Solve for x
    x = 7,141,644,500.06/122,965.70
  6. Step 6: Final answer
    x = 58,078.35

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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.