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Finding the Fourth Proportional to 184,294.80, 275,923.80 and 165,632.40

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Solution

The fourth proportional to 184,294.80, 275,923.80 and 165,632.40 is: 247,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,294.80 : 275,923.80 = 165,632.40 : x
  2. Step 2: Convert to fraction form
    184,294.80/275,923.80 = 165,632.40/x
  3. Step 3: Cross multiply
    184,294.80x = 275,923.80 × 165,632.40
  4. Step 4: Simplify right side
    184,294.80x = 45,701,921,211.12
  5. Step 5: Solve for x
    x = 45,701,921,211.12/184,294.80
  6. Step 6: Final answer
    x = 247,982.70

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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.