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Finding the Fourth Proportional to 357,162.06, 492,882.21 and 196,019.76

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Solution

The fourth proportional to 357,162.06, 492,882.21 and 196,019.76 is: 270,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,162.06 : 492,882.21 = 196,019.76 : x
  2. Step 2: Convert to fraction form
    357,162.06/492,882.21 = 196,019.76/x
  3. Step 3: Cross multiply
    357,162.06x = 492,882.21 × 196,019.76
  4. Step 4: Simplify right side
    357,162.06x = 96,614,652,512.47
  5. Step 5: Solve for x
    x = 96,614,652,512.47/357,162.06
  6. Step 6: Final answer
    x = 270,506.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.