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Finding the Fourth Proportional to 223,019.28, 307,772.64 and 126,216

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Solution

The fourth proportional to 223,019.28, 307,772.64 and 126,216 is: 174,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,019.28 : 307,772.64 = 126,216 : x
  2. Step 2: Convert to fraction form
    223,019.28/307,772.64 = 126,216/x
  3. Step 3: Cross multiply
    223,019.28x = 307,772.64 × 126,216
  4. Step 4: Simplify right side
    223,019.28x = 38,845,831,530.24
  5. Step 5: Solve for x
    x = 38,845,831,530.24/223,019.28
  6. Step 6: Final answer
    x = 174,181.49

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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.