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Finding the Fourth Proportional to 230,599.56, 345,935.04 and 97,480.32

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Solution

The fourth proportional to 230,599.56, 345,935.04 and 97,480.32 is: 146,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,599.56 : 345,935.04 = 97,480.32 : x
  2. Step 2: Convert to fraction form
    230,599.56/345,935.04 = 97,480.32/x
  3. Step 3: Cross multiply
    230,599.56x = 345,935.04 × 97,480.32
  4. Step 4: Simplify right side
    230,599.56x = 33,721,858,398.41
  5. Step 5: Solve for x
    x = 33,721,858,398.41/230,599.56
  6. Step 6: Final answer
    x = 146,235.57

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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.