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Finding the Fourth Proportional to 357,095.49, 492,790.42 and 195,953.23

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Solution

The fourth proportional to 357,095.49, 492,790.42 and 195,953.23 is: 270,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,095.49 : 492,790.42 = 195,953.23 : x
  2. Step 2: Convert to fraction form
    357,095.49/492,790.42 = 195,953.23/x
  3. Step 3: Cross multiply
    357,095.49x = 492,790.42 × 195,953.23
  4. Step 4: Simplify right side
    357,095.49x = 96,563,873,532.29
  5. Step 5: Solve for x
    x = 96,563,873,532.29/357,095.49
  6. Step 6: Final answer
    x = 270,414.71

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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.