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Finding the Fourth Proportional to 222,036, 306,409.92 and 121,434.24

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Solution

The fourth proportional to 222,036, 306,409.92 and 121,434.24 is: 167,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,036 : 306,409.92 = 121,434.24 : x
  2. Step 2: Convert to fraction form
    222,036/306,409.92 = 121,434.24/x
  3. Step 3: Cross multiply
    222,036x = 306,409.92 × 121,434.24
  4. Step 4: Simplify right side
    222,036x = 37,208,655,763.66
  5. Step 5: Solve for x
    x = 37,208,655,763.66/222,036
  6. Step 6: Final answer
    x = 167,579.38

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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.