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Finding the Fourth Proportional to 149,936.54, 224,978.12 and 65,685.20

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Solution

The fourth proportional to 149,936.54, 224,978.12 and 65,685.20 is: 98,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,936.54 : 224,978.12 = 65,685.20 : x
  2. Step 2: Convert to fraction form
    149,936.54/224,978.12 = 65,685.20/x
  3. Step 3: Cross multiply
    149,936.54x = 224,978.12 × 65,685.20
  4. Step 4: Simplify right side
    149,936.54x = 14,777,732,807.82
  5. Step 5: Solve for x
    x = 14,777,732,807.82/149,936.54
  6. Step 6: Final answer
    x = 98,559.92

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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.