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Finding the Fourth Proportional to 221,969, 306,317.22 and 121,367

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Solution

The fourth proportional to 221,969, 306,317.22 and 121,367 is: 167,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,969 : 306,317.22 = 121,367 : x
  2. Step 2: Convert to fraction form
    221,969/306,317.22 = 121,367/x
  3. Step 3: Cross multiply
    221,969x = 306,317.22 × 121,367
  4. Step 4: Simplify right side
    221,969x = 37,176,802,039.74
  5. Step 5: Solve for x
    x = 37,176,802,039.74/221,969
  6. Step 6: Final answer
    x = 167,486.46

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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.