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Finding the Fourth Proportional to 196,063.86, 293,622.06 and 111,568.08

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Solution

The fourth proportional to 196,063.86, 293,622.06 and 111,568.08 is: 167,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,063.86 : 293,622.06 = 111,568.08 : x
  2. Step 2: Convert to fraction form
    196,063.86/293,622.06 = 111,568.08/x
  3. Step 3: Cross multiply
    196,063.86x = 293,622.06 × 111,568.08
  4. Step 4: Simplify right side
    196,063.86x = 32,758,849,479.84
  5. Step 5: Solve for x
    x = 32,758,849,479.84/196,063.86
  6. Step 6: Final answer
    x = 167,082.55

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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.