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Finding the Fourth Proportional to 122,861.40, 184,032.90 and 102,125.40

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Solution

The fourth proportional to 122,861.40, 184,032.90 and 102,125.40 is: 152,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,861.40 : 184,032.90 = 102,125.40 : x
  2. Step 2: Convert to fraction form
    122,861.40/184,032.90 = 102,125.40/x
  3. Step 3: Cross multiply
    122,861.40x = 184,032.90 × 102,125.40
  4. Step 4: Simplify right side
    122,861.40x = 18,794,433,525.66
  5. Step 5: Solve for x
    x = 18,794,433,525.66/122,861.40
  6. Step 6: Final answer
    x = 152,972.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.