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Finding the Fourth Proportional to 194,690.80, 292,034.89 and 104,775.83

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Solution

The fourth proportional to 194,690.80, 292,034.89 and 104,775.83 is: 157,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,690.80 : 292,034.89 = 104,775.83 : x
  2. Step 2: Convert to fraction form
    194,690.80/292,034.89 = 104,775.83/x
  3. Step 3: Cross multiply
    194,690.80x = 292,034.89 × 104,775.83
  4. Step 4: Simplify right side
    194,690.80x = 30,598,197,988.71
  5. Step 5: Solve for x
    x = 30,598,197,988.71/194,690.80
  6. Step 6: Final answer
    x = 157,163.04

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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.