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Finding the Fourth Proportional to 230,974.80, 346,591.80 and 97,832.40

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Solution

The fourth proportional to 230,974.80, 346,591.80 and 97,832.40 is: 146,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,974.80 : 346,591.80 = 97,832.40 : x
  2. Step 2: Convert to fraction form
    230,974.80/346,591.80 = 97,832.40/x
  3. Step 3: Cross multiply
    230,974.80x = 346,591.80 × 97,832.40
  4. Step 4: Simplify right side
    230,974.80x = 33,907,907,614.32
  5. Step 5: Solve for x
    x = 33,907,907,614.32/230,974.80
  6. Step 6: Final answer
    x = 146,803.49

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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.