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Finding the Fourth Proportional to 184,996.50, 255,295.18 and 100,114.18

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Solution

The fourth proportional to 184,996.50, 255,295.18 and 100,114.18 is: 138,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,996.50 : 255,295.18 = 100,114.18 : x
  2. Step 2: Convert to fraction form
    184,996.50/255,295.18 = 100,114.18/x
  3. Step 3: Cross multiply
    184,996.50x = 255,295.18 × 100,114.18
  4. Step 4: Simplify right side
    184,996.50x = 25,558,667,603.65
  5. Step 5: Solve for x
    x = 25,558,667,603.65/184,996.50
  6. Step 6: Final answer
    x = 138,157.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.