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Finding the Fourth Proportional to 164,767.36, 227,208.32 and 140,972.80

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Solution

The fourth proportional to 164,767.36, 227,208.32 and 140,972.80 is: 194,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,767.36 : 227,208.32 = 140,972.80 : x
  2. Step 2: Convert to fraction form
    164,767.36/227,208.32 = 140,972.80/x
  3. Step 3: Cross multiply
    164,767.36x = 227,208.32 × 140,972.80
  4. Step 4: Simplify right side
    164,767.36x = 32,030,193,053.70
  5. Step 5: Solve for x
    x = 32,030,193,053.70/164,767.36
  6. Step 6: Final answer
    x = 194,396.47

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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.