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Finding the Fourth Proportional to 234,375.81, 351,584.48 and 65,897.61

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Solution

The fourth proportional to 234,375.81, 351,584.48 and 65,897.61 is: 98,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,375.81 : 351,584.48 = 65,897.61 : x
  2. Step 2: Convert to fraction form
    234,375.81/351,584.48 = 65,897.61/x
  3. Step 3: Cross multiply
    234,375.81x = 351,584.48 × 65,897.61
  4. Step 4: Simplify right side
    234,375.81x = 23,168,576,945.09
  5. Step 5: Solve for x
    x = 23,168,576,945.09/234,375.81
  6. Step 6: Final answer
    x = 98,852.25

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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.