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Finding the Fourth Proportional to 312,204, 468,289.56 and 87,580.08

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Solution

The fourth proportional to 312,204, 468,289.56 and 87,580.08 is: 131,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,204 : 468,289.56 = 87,580.08 : x
  2. Step 2: Convert to fraction form
    312,204/468,289.56 = 87,580.08/x
  3. Step 3: Cross multiply
    312,204x = 468,289.56 × 87,580.08
  4. Step 4: Simplify right side
    312,204x = 41,012,837,127.96
  5. Step 5: Solve for x
    x = 41,012,837,127.96/312,204
  6. Step 6: Final answer
    x = 131,365.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.