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Finding the Fourth Proportional to 122,894.10, 184,233.15 and 83,322.90

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Solution

The fourth proportional to 122,894.10, 184,233.15 and 83,322.90 is: 124,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,894.10 : 184,233.15 = 83,322.90 : x
  2. Step 2: Convert to fraction form
    122,894.10/184,233.15 = 83,322.90/x
  3. Step 3: Cross multiply
    122,894.10x = 184,233.15 × 83,322.90
  4. Step 4: Simplify right side
    122,894.10x = 15,350,840,334.14
  5. Step 5: Solve for x
    x = 15,350,840,334.14/122,894.10
  6. Step 6: Final answer
    x = 124,911.13

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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.