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Finding the Fourth Proportional to 122,859.89, 184,289.91 and 34,113.40

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Solution

The fourth proportional to 122,859.89, 184,289.91 and 34,113.40 is: 51,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,859.89 : 184,289.91 = 34,113.40 : x
  2. Step 2: Convert to fraction form
    122,859.89/184,289.91 = 34,113.40/x
  3. Step 3: Cross multiply
    122,859.89x = 184,289.91 × 34,113.40
  4. Step 4: Simplify right side
    122,859.89x = 6,286,754,827.14
  5. Step 5: Solve for x
    x = 6,286,754,827.14/122,859.89
  6. Step 6: Final answer
    x = 51,170.12

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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.