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Finding the Fourth Proportional to 223,258, 308,096.16 and 122,662.48

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Solution

The fourth proportional to 223,258, 308,096.16 and 122,662.48 is: 169,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,258 : 308,096.16 = 122,662.48 : x
  2. Step 2: Convert to fraction form
    223,258/308,096.16 = 122,662.48/x
  3. Step 3: Cross multiply
    223,258x = 308,096.16 × 122,662.48
  4. Step 4: Simplify right side
    223,258x = 37,791,839,064.08
  5. Step 5: Solve for x
    x = 37,791,839,064.08/223,258
  6. Step 6: Final answer
    x = 169,274.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.