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Finding the Fourth Proportional to 134,946, 202,419 and 41,451.75

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Solution

The fourth proportional to 134,946, 202,419 and 41,451.75 is: 62,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 202,419 = 41,451.75 : x
  2. Step 2: Convert to fraction form
    134,946/202,419 = 41,451.75/x
  3. Step 3: Cross multiply
    134,946x = 202,419 × 41,451.75
  4. Step 4: Simplify right side
    134,946x = 8,390,621,783.25
  5. Step 5: Solve for x
    x = 8,390,621,783.25/134,946
  6. Step 6: Final answer
    x = 62,177.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.