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Finding the Fourth Proportional to 145,630.62, 200,969.73 and 81,968.58

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Solution

The fourth proportional to 145,630.62, 200,969.73 and 81,968.58 is: 113,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,630.62 : 200,969.73 = 81,968.58 : x
  2. Step 2: Convert to fraction form
    145,630.62/200,969.73 = 81,968.58/x
  3. Step 3: Cross multiply
    145,630.62x = 200,969.73 × 81,968.58
  4. Step 4: Simplify right side
    145,630.62x = 16,473,203,391.08
  5. Step 5: Solve for x
    x = 16,473,203,391.08/145,630.62
  6. Step 6: Final answer
    x = 113,116.34

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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.