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Finding the Fourth Proportional to 230,137.84, 345,046.32 and 101,984.34

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Solution

The fourth proportional to 230,137.84, 345,046.32 and 101,984.34 is: 152,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,137.84 : 345,046.32 = 101,984.34 : x
  2. Step 2: Convert to fraction form
    230,137.84/345,046.32 = 101,984.34/x
  3. Step 3: Cross multiply
    230,137.84x = 345,046.32 × 101,984.34
  4. Step 4: Simplify right side
    230,137.84x = 35,189,320,625.63
  5. Step 5: Solve for x
    x = 35,189,320,625.63/230,137.84
  6. Step 6: Final answer
    x = 152,905.41

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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.