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Finding the Fourth Proportional to 199,706.22, 299,561.98 and 66,586.52

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Solution

The fourth proportional to 199,706.22, 299,561.98 and 66,586.52 is: 99,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,706.22 : 299,561.98 = 66,586.52 : x
  2. Step 2: Convert to fraction form
    199,706.22/299,561.98 = 66,586.52/x
  3. Step 3: Cross multiply
    199,706.22x = 299,561.98 × 66,586.52
  4. Step 4: Simplify right side
    199,706.22x = 19,946,789,772.51
  5. Step 5: Solve for x
    x = 19,946,789,772.51/199,706.22
  6. Step 6: Final answer
    x = 99,880.66

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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.