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Finding the Fourth Proportional to 268,022, 369,867.80 and 147,162.23

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Solution

The fourth proportional to 268,022, 369,867.80 and 147,162.23 is: 203,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,022 : 369,867.80 = 147,162.23 : x
  2. Step 2: Convert to fraction form
    268,022/369,867.80 = 147,162.23/x
  3. Step 3: Cross multiply
    268,022x = 369,867.80 × 147,162.23
  4. Step 4: Simplify right side
    268,022x = 54,430,570,253.19
  5. Step 5: Solve for x
    x = 54,430,570,253.19/268,022
  6. Step 6: Final answer
    x = 203,082.47

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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.