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Finding the Fourth Proportional to 301,363.50, 415,901.07 and 167,227.50

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Solution

The fourth proportional to 301,363.50, 415,901.07 and 167,227.50 is: 230,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.50 : 415,901.07 = 167,227.50 : x
  2. Step 2: Convert to fraction form
    301,363.50/415,901.07 = 167,227.50/x
  3. Step 3: Cross multiply
    301,363.50x = 415,901.07 × 167,227.50
  4. Step 4: Simplify right side
    301,363.50x = 69,550,096,183.43
  5. Step 5: Solve for x
    x = 69,550,096,183.43/301,363.50
  6. Step 6: Final answer
    x = 230,784.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.