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Finding the Fourth Proportional to 230,993.30, 346,340.10 and 97,837.40

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Solution

The fourth proportional to 230,993.30, 346,340.10 and 97,837.40 is: 146,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,993.30 : 346,340.10 = 97,837.40 : x
  2. Step 2: Convert to fraction form
    230,993.30/346,340.10 = 97,837.40/x
  3. Step 3: Cross multiply
    230,993.30x = 346,340.10 × 97,837.40
  4. Step 4: Simplify right side
    230,993.30x = 33,885,014,899.74
  5. Step 5: Solve for x
    x = 33,885,014,899.74/230,993.30
  6. Step 6: Final answer
    x = 146,692.63

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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.