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Finding the Fourth Proportional to 222,174, 306,600.12 and 121,572

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Solution

The fourth proportional to 222,174, 306,600.12 and 121,572 is: 167,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,174 : 306,600.12 = 121,572 : x
  2. Step 2: Convert to fraction form
    222,174/306,600.12 = 121,572/x
  3. Step 3: Cross multiply
    222,174x = 306,600.12 × 121,572
  4. Step 4: Simplify right side
    222,174x = 37,273,989,788.64
  5. Step 5: Solve for x
    x = 37,273,989,788.64/222,174
  6. Step 6: Final answer
    x = 167,769.36

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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.