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Finding the Fourth Proportional to 194,521.03, 268,506 and 113,974.63

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Solution

The fourth proportional to 194,521.03, 268,506 and 113,974.63 is: 157,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,521.03 : 268,506 = 113,974.63 : x
  2. Step 2: Convert to fraction form
    194,521.03/268,506 = 113,974.63/x
  3. Step 3: Cross multiply
    194,521.03x = 268,506 × 113,974.63
  4. Step 4: Simplify right side
    194,521.03x = 30,602,871,331.52
  5. Step 5: Solve for x
    x = 30,602,871,331.52/194,521.03
  6. Step 6: Final answer
    x = 157,324.23

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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.