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Finding the Fourth Proportional to 209,967.46, 289,754.89 and 114,474.13

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Solution

The fourth proportional to 209,967.46, 289,754.89 and 114,474.13 is: 157,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.46 : 289,754.89 = 114,474.13 : x
  2. Step 2: Convert to fraction form
    209,967.46/289,754.89 = 114,474.13/x
  3. Step 3: Cross multiply
    209,967.46x = 289,754.89 × 114,474.13
  4. Step 4: Simplify right side
    209,967.46x = 33,169,437,935.42
  5. Step 5: Solve for x
    x = 33,169,437,935.42/209,967.46
  6. Step 6: Final answer
    x = 157,974.18

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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.