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Finding the Fourth Proportional to 234,981, 324,274.14 and 134,381.16

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Solution

The fourth proportional to 234,981, 324,274.14 and 134,381.16 is: 185,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,981 : 324,274.14 = 134,381.16 : x
  2. Step 2: Convert to fraction form
    234,981/324,274.14 = 134,381.16/x
  3. Step 3: Cross multiply
    234,981x = 324,274.14 × 134,381.16
  4. Step 4: Simplify right side
    234,981x = 43,576,335,091.20
  5. Step 5: Solve for x
    x = 43,576,335,091.20/234,981
  6. Step 6: Final answer
    x = 185,446.21

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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.