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Finding the Fourth Proportional to 204,549.96, 306,689.58 and 97,949.64

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Solution

The fourth proportional to 204,549.96, 306,689.58 and 97,949.64 is: 146,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,549.96 : 306,689.58 = 97,949.64 : x
  2. Step 2: Convert to fraction form
    204,549.96/306,689.58 = 97,949.64/x
  3. Step 3: Cross multiply
    204,549.96x = 306,689.58 × 97,949.64
  4. Step 4: Simplify right side
    204,549.96x = 30,040,133,952.75
  5. Step 5: Solve for x
    x = 30,040,133,952.75/204,549.96
  6. Step 6: Final answer
    x = 146,859.64

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1.5x scale

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.