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Finding the Fourth Proportional to 203,875.94, 281,371.12 and 116,669.11

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Solution

The fourth proportional to 203,875.94, 281,371.12 and 116,669.11 is: 161,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,875.94 : 281,371.12 = 116,669.11 : x
  2. Step 2: Convert to fraction form
    203,875.94/281,371.12 = 116,669.11/x
  3. Step 3: Cross multiply
    203,875.94x = 281,371.12 × 116,669.11
  4. Step 4: Simplify right side
    203,875.94x = 32,827,317,682.57
  5. Step 5: Solve for x
    x = 32,827,317,682.57/203,875.94
  6. Step 6: Final answer
    x = 161,016.15

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Why These Related Problems?

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