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Finding the Fourth Proportional to 217,064.10, 325,596.15 and 146,205.30

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Solution

The fourth proportional to 217,064.10, 325,596.15 and 146,205.30 is: 219,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,064.10 : 325,596.15 = 146,205.30 : x
  2. Step 2: Convert to fraction form
    217,064.10/325,596.15 = 146,205.30/x
  3. Step 3: Cross multiply
    217,064.10x = 325,596.15 × 146,205.30
  4. Step 4: Simplify right side
    217,064.10x = 47,603,882,789.60
  5. Step 5: Solve for x
    x = 47,603,882,789.60/217,064.10
  6. Step 6: Final answer
    x = 219,307.95

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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.