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Finding the Fourth Proportional to 217,476.80, 325,994.88 and 147,363.20

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Solution

The fourth proportional to 217,476.80, 325,994.88 and 147,363.20 is: 220,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476.80 : 325,994.88 = 147,363.20 : x
  2. Step 2: Convert to fraction form
    217,476.80/325,994.88 = 147,363.20/x
  3. Step 3: Cross multiply
    217,476.80x = 325,994.88 × 147,363.20
  4. Step 4: Simplify right side
    217,476.80x = 48,039,648,700.42
  5. Step 5: Solve for x
    x = 48,039,648,700.42/217,476.80
  6. Step 6: Final answer
    x = 220,895.51

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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.