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Finding the Fourth Proportional to 202,394.70, 279,258.03 and 117,461.34

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Solution

The fourth proportional to 202,394.70, 279,258.03 and 117,461.34 is: 162,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,394.70 : 279,258.03 = 117,461.34 : x
  2. Step 2: Convert to fraction form
    202,394.70/279,258.03 = 117,461.34/x
  3. Step 3: Cross multiply
    202,394.70x = 279,258.03 × 117,461.34
  4. Step 4: Simplify right side
    202,394.70x = 32,802,022,409.56
  5. Step 5: Solve for x
    x = 32,802,022,409.56/202,394.70
  6. Step 6: Final answer
    x = 162,069.57

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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.