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Finding the Fourth Proportional to 215,847.30, 323,770.95 and 163,359.30

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Solution

The fourth proportional to 215,847.30, 323,770.95 and 163,359.30 is: 245,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,847.30 : 323,770.95 = 163,359.30 : x
  2. Step 2: Convert to fraction form
    215,847.30/323,770.95 = 163,359.30/x
  3. Step 3: Cross multiply
    215,847.30x = 323,770.95 × 163,359.30
  4. Step 4: Simplify right side
    215,847.30x = 52,890,995,752.34
  5. Step 5: Solve for x
    x = 52,890,995,752.34/215,847.30
  6. Step 6: Final answer
    x = 245,038.95

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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.