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Finding the Fourth Proportional to 181,321.64, 250,143.36 and 120,833.36

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Solution

The fourth proportional to 181,321.64, 250,143.36 and 120,833.36 is: 166,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,321.64 : 250,143.36 = 120,833.36 : x
  2. Step 2: Convert to fraction form
    181,321.64/250,143.36 = 120,833.36/x
  3. Step 3: Cross multiply
    181,321.64x = 250,143.36 × 120,833.36
  4. Step 4: Simplify right side
    181,321.64x = 30,225,662,670.49
  5. Step 5: Solve for x
    x = 30,225,662,670.49/181,321.64
  6. Step 6: Final answer
    x = 166,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.