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Finding the Fourth Proportional to 230,333.56, 345,451.38 and 97,162.36

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Solution

The fourth proportional to 230,333.56, 345,451.38 and 97,162.36 is: 145,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,333.56 : 345,451.38 = 97,162.36 : x
  2. Step 2: Convert to fraction form
    230,333.56/345,451.38 = 97,162.36/x
  3. Step 3: Cross multiply
    230,333.56x = 345,451.38 × 97,162.36
  4. Step 4: Simplify right side
    230,333.56x = 33,564,871,346.06
  5. Step 5: Solve for x
    x = 33,564,871,346.06/230,333.56
  6. Step 6: Final answer
    x = 145,722.89

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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.