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Finding the Fourth Proportional to 122,806.10, 184,101.15 and 83,234.90

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Solution

The fourth proportional to 122,806.10, 184,101.15 and 83,234.90 is: 124,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806.10 : 184,101.15 = 83,234.90 : x
  2. Step 2: Convert to fraction form
    122,806.10/184,101.15 = 83,234.90/x
  3. Step 3: Cross multiply
    122,806.10x = 184,101.15 × 83,234.90
  4. Step 4: Simplify right side
    122,806.10x = 15,323,640,810.14
  5. Step 5: Solve for x
    x = 15,323,640,810.14/122,806.10
  6. Step 6: Final answer
    x = 124,779.15

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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.