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Finding the Fourth Proportional to 204,372.94, 306,116.33 and 98,970.88

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Solution

The fourth proportional to 204,372.94, 306,116.33 and 98,970.88 is: 148,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,372.94 : 306,116.33 = 98,970.88 : x
  2. Step 2: Convert to fraction form
    204,372.94/306,116.33 = 98,970.88/x
  3. Step 3: Cross multiply
    204,372.94x = 306,116.33 × 98,970.88
  4. Step 4: Simplify right side
    204,372.94x = 30,296,601,031.89
  5. Step 5: Solve for x
    x = 30,296,601,031.89/204,372.94
  6. Step 6: Final answer
    x = 148,241.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.