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Finding the Fourth Proportional to 218,224.38, 301,191.01 and 136,590.50

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Solution

The fourth proportional to 218,224.38, 301,191.01 and 136,590.50 is: 188,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,224.38 : 301,191.01 = 136,590.50 : x
  2. Step 2: Convert to fraction form
    218,224.38/301,191.01 = 136,590.50/x
  3. Step 3: Cross multiply
    218,224.38x = 301,191.01 × 136,590.50
  4. Step 4: Simplify right side
    218,224.38x = 41,139,831,062.91
  5. Step 5: Solve for x
    x = 41,139,831,062.91/218,224.38
  6. Step 6: Final answer
    x = 188,520.78

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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.