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Finding the Fourth Proportional to 230,637.66, 345,971.07 and 97,493.10

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Solution

The fourth proportional to 230,637.66, 345,971.07 and 97,493.10 is: 146,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,637.66 : 345,971.07 = 97,493.10 : x
  2. Step 2: Convert to fraction form
    230,637.66/345,971.07 = 97,493.10/x
  3. Step 3: Cross multiply
    230,637.66x = 345,971.07 × 97,493.10
  4. Step 4: Simplify right side
    230,637.66x = 33,729,792,124.62
  5. Step 5: Solve for x
    x = 33,729,792,124.62/230,637.66
  6. Step 6: Final answer
    x = 146,245.81

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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.