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Finding the Fourth Proportional to 230,551.56, 345,863.10 and 97,432.38

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Solution

The fourth proportional to 230,551.56, 345,863.10 and 97,432.38 is: 146,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,551.56 : 345,863.10 = 97,432.38 : x
  2. Step 2: Convert to fraction form
    230,551.56/345,863.10 = 97,432.38/x
  3. Step 3: Cross multiply
    230,551.56x = 345,863.10 × 97,432.38
  4. Step 4: Simplify right side
    230,551.56x = 33,698,264,987.18
  5. Step 5: Solve for x
    x = 33,698,264,987.18/230,551.56
  6. Step 6: Final answer
    x = 146,163.68

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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.