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Finding the Fourth Proportional to 234,543, 351,814.78 and 57,048.78

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Solution

The fourth proportional to 234,543, 351,814.78 and 57,048.78 is: 85,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,543 : 351,814.78 = 57,048.78 : x
  2. Step 2: Convert to fraction form
    234,543/351,814.78 = 57,048.78/x
  3. Step 3: Cross multiply
    234,543x = 351,814.78 × 57,048.78
  4. Step 4: Simplify right side
    234,543x = 20,070,603,984.97
  5. Step 5: Solve for x
    x = 20,070,603,984.97/234,543
  6. Step 6: Final answer
    x = 85,573.24

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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.