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Finding the Fourth Proportional to 268,090.20, 369,967.02 and 147,234

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Solution

The fourth proportional to 268,090.20, 369,967.02 and 147,234 is: 203,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,090.20 : 369,967.02 = 147,234 : x
  2. Step 2: Convert to fraction form
    268,090.20/369,967.02 = 147,234/x
  3. Step 3: Cross multiply
    268,090.20x = 369,967.02 × 147,234
  4. Step 4: Simplify right side
    268,090.20x = 54,471,724,222.68
  5. Step 5: Solve for x
    x = 54,471,724,222.68/268,090.20
  6. Step 6: Final answer
    x = 203,184.32

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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.