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Finding the Fourth Proportional to 230,942.97, 346,475.48 and 97,828.11

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Solution

The fourth proportional to 230,942.97, 346,475.48 and 97,828.11 is: 146,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,942.97 : 346,475.48 = 97,828.11 : x
  2. Step 2: Convert to fraction form
    230,942.97/346,475.48 = 97,828.11/x
  3. Step 3: Cross multiply
    230,942.97x = 346,475.48 × 97,828.11
  4. Step 4: Simplify right side
    230,942.97x = 33,895,040,880.60
  5. Step 5: Solve for x
    x = 33,895,040,880.60/230,942.97
  6. Step 6: Final answer
    x = 146,768.01

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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.