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Finding the Fourth Proportional to 234,143.25, 351,202.54 and 65,675.22

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Solution

The fourth proportional to 234,143.25, 351,202.54 and 65,675.22 is: 98,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,143.25 : 351,202.54 = 65,675.22 : x
  2. Step 2: Convert to fraction form
    234,143.25/351,202.54 = 65,675.22/x
  3. Step 3: Cross multiply
    234,143.25x = 351,202.54 × 65,675.22
  4. Step 4: Simplify right side
    234,143.25x = 23,065,304,079.06
  5. Step 5: Solve for x
    x = 23,065,304,079.06/234,143.25
  6. Step 6: Final answer
    x = 98,509.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.