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Finding the Fourth Proportional to 287,894.94, 397,188 and 166,968.42

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Solution

The fourth proportional to 287,894.94, 397,188 and 166,968.42 is: 230,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.94 : 397,188 = 166,968.42 : x
  2. Step 2: Convert to fraction form
    287,894.94/397,188 = 166,968.42/x
  3. Step 3: Cross multiply
    287,894.94x = 397,188 × 166,968.42
  4. Step 4: Simplify right side
    287,894.94x = 66,317,852,802.96
  5. Step 5: Solve for x
    x = 66,317,852,802.96/287,894.94
  6. Step 6: Final answer
    x = 230,354.35

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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.