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Finding the Fourth Proportional to 202,971.30, 280,212.99 and 122,419.14

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Solution

The fourth proportional to 202,971.30, 280,212.99 and 122,419.14 is: 169,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.30 : 280,212.99 = 122,419.14 : x
  2. Step 2: Convert to fraction form
    202,971.30/280,212.99 = 122,419.14/x
  3. Step 3: Cross multiply
    202,971.30x = 280,212.99 × 122,419.14
  4. Step 4: Simplify right side
    202,971.30x = 34,303,433,252.63
  5. Step 5: Solve for x
    x = 34,303,433,252.63/202,971.30
  6. Step 6: Final answer
    x = 169,006.32

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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.