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Finding the Fourth Proportional to 234,297.11, 351,459.27 and 65,830.56

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Solution

The fourth proportional to 234,297.11, 351,459.27 and 65,830.56 is: 98,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,297.11 : 351,459.27 = 65,830.56 : x
  2. Step 2: Convert to fraction form
    234,297.11/351,459.27 = 65,830.56/x
  3. Step 3: Cross multiply
    234,297.11x = 351,459.27 × 65,830.56
  4. Step 4: Simplify right side
    234,297.11x = 23,136,760,561.29
  5. Step 5: Solve for x
    x = 23,136,760,561.29/234,297.11
  6. Step 6: Final answer
    x = 98,749.66

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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.