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Finding the Fourth Proportional to 218,225.38, 301,192.39 and 136,591.50

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Solution

The fourth proportional to 218,225.38, 301,192.39 and 136,591.50 is: 188,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,225.38 : 301,192.39 = 136,591.50 : x
  2. Step 2: Convert to fraction form
    218,225.38/301,192.39 = 136,591.50/x
  3. Step 3: Cross multiply
    218,225.38x = 301,192.39 × 136,591.50
  4. Step 4: Simplify right side
    218,225.38x = 41,140,320,338.69
  5. Step 5: Solve for x
    x = 41,140,320,338.69/218,225.38
  6. Step 6: Final answer
    x = 188,522.16

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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.