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Finding the Fourth Proportional to 237,461, 327,696.18 and 136,865.48

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Solution

The fourth proportional to 237,461, 327,696.18 and 136,865.48 is: 188,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,461 : 327,696.18 = 136,865.48 : x
  2. Step 2: Convert to fraction form
    237,461/327,696.18 = 136,865.48/x
  3. Step 3: Cross multiply
    237,461x = 327,696.18 × 136,865.48
  4. Step 4: Simplify right side
    237,461x = 44,850,294,969.87
  5. Step 5: Solve for x
    x = 44,850,294,969.87/237,461
  6. Step 6: Final answer
    x = 188,874.36

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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.