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Finding the Fourth Proportional to 122,903.93, 184,314.89 and 48,004.65

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Solution

The fourth proportional to 122,903.93, 184,314.89 and 48,004.65 is: 71,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,903.93 : 184,314.89 = 48,004.65 : x
  2. Step 2: Convert to fraction form
    122,903.93/184,314.89 = 48,004.65/x
  3. Step 3: Cross multiply
    122,903.93x = 184,314.89 × 48,004.65
  4. Step 4: Simplify right side
    122,903.93x = 8,847,971,904.25
  5. Step 5: Solve for x
    x = 8,847,971,904.25/122,903.93
  6. Step 6: Final answer
    x = 71,990.96

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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.