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Finding the Fourth Proportional to 234,427.80, 351,641.70 and 123,835.80

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Solution

The fourth proportional to 234,427.80, 351,641.70 and 123,835.80 is: 185,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,427.80 : 351,641.70 = 123,835.80 : x
  2. Step 2: Convert to fraction form
    234,427.80/351,641.70 = 123,835.80/x
  3. Step 3: Cross multiply
    234,427.80x = 351,641.70 × 123,835.80
  4. Step 4: Simplify right side
    234,427.80x = 43,545,831,232.86
  5. Step 5: Solve for x
    x = 43,545,831,232.86/234,427.80
  6. Step 6: Final answer
    x = 185,753.70

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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.