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Finding the Fourth Proportional to 181,574.40, 272,361.60 and 164,661.60

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Solution

The fourth proportional to 181,574.40, 272,361.60 and 164,661.60 is: 246,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,574.40 : 272,361.60 = 164,661.60 : x
  2. Step 2: Convert to fraction form
    181,574.40/272,361.60 = 164,661.60/x
  3. Step 3: Cross multiply
    181,574.40x = 272,361.60 × 164,661.60
  4. Step 4: Simplify right side
    181,574.40x = 44,847,496,834.56
  5. Step 5: Solve for x
    x = 44,847,496,834.56/181,574.40
  6. Step 6: Final answer
    x = 246,992.40

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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.