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Finding the Fourth Proportional to 357,053.65, 492,765.98 and 195,940.10

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Solution

The fourth proportional to 357,053.65, 492,765.98 and 195,940.10 is: 270,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,053.65 : 492,765.98 = 195,940.10 : x
  2. Step 2: Convert to fraction form
    357,053.65/492,765.98 = 195,940.10/x
  3. Step 3: Cross multiply
    357,053.65x = 492,765.98 × 195,940.10
  4. Step 4: Simplify right side
    357,053.65x = 96,552,615,650.01
  5. Step 5: Solve for x
    x = 96,552,615,650.01/357,053.65
  6. Step 6: Final answer
    x = 270,414.87

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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.