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Finding the Fourth Proportional to 222,971.28, 307,706.40 and 126,168

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Solution

The fourth proportional to 222,971.28, 307,706.40 and 126,168 is: 174,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.28 : 307,706.40 = 126,168 : x
  2. Step 2: Convert to fraction form
    222,971.28/307,706.40 = 126,168/x
  3. Step 3: Cross multiply
    222,971.28x = 307,706.40 × 126,168
  4. Step 4: Simplify right side
    222,971.28x = 38,822,701,075.20
  5. Step 5: Solve for x
    x = 38,822,701,075.20/222,971.28
  6. Step 6: Final answer
    x = 174,115.25

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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.