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Finding the Fourth Proportional to 221,946.30, 332,919.45 and 97,530.30

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Solution

The fourth proportional to 221,946.30, 332,919.45 and 97,530.30 is: 146,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,946.30 : 332,919.45 = 97,530.30 : x
  2. Step 2: Convert to fraction form
    221,946.30/332,919.45 = 97,530.30/x
  3. Step 3: Cross multiply
    221,946.30x = 332,919.45 × 97,530.30
  4. Step 4: Simplify right side
    221,946.30x = 32,469,733,834.34
  5. Step 5: Solve for x
    x = 32,469,733,834.34/221,946.30
  6. Step 6: Final answer
    x = 146,295.45

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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.