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Finding the Fourth Proportional to 181,077.40, 271,664.70 and 161,491.60

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Solution

The fourth proportional to 181,077.40, 271,664.70 and 161,491.60 is: 242,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,077.40 : 271,664.70 = 161,491.60 : x
  2. Step 2: Convert to fraction form
    181,077.40/271,664.70 = 161,491.60/x
  3. Step 3: Cross multiply
    181,077.40x = 271,664.70 × 161,491.60
  4. Step 4: Simplify right side
    181,077.40x = 43,871,567,066.52
  5. Step 5: Solve for x
    x = 43,871,567,066.52/181,077.40
  6. Step 6: Final answer
    x = 242,280.74

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Why These Related Problems?

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