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Finding the Fourth Proportional to 232,201.14, 320,140.93 and 150,384.84

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Solution

The fourth proportional to 232,201.14, 320,140.93 and 150,384.84 is: 207,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201.14 : 320,140.93 = 150,384.84 : x
  2. Step 2: Convert to fraction form
    232,201.14/320,140.93 = 150,384.84/x
  3. Step 3: Cross multiply
    232,201.14x = 320,140.93 × 150,384.84
  4. Step 4: Simplify right side
    232,201.14x = 48,144,342,535.50
  5. Step 5: Solve for x
    x = 48,144,342,535.50/232,201.14
  6. Step 6: Final answer
    x = 207,338.96

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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.