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Finding the Fourth Proportional to 222,169, 306,593.22 and 121,567

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Solution

The fourth proportional to 222,169, 306,593.22 and 121,567 is: 167,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,169 : 306,593.22 = 121,567 : x
  2. Step 2: Convert to fraction form
    222,169/306,593.22 = 121,567/x
  3. Step 3: Cross multiply
    222,169x = 306,593.22 × 121,567
  4. Step 4: Simplify right side
    222,169x = 37,271,617,975.74
  5. Step 5: Solve for x
    x = 37,271,617,975.74/222,169
  6. Step 6: Final answer
    x = 167,762.46

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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.