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Finding the Fourth Proportional to 357,106.34, 492,806.43 and 195,971.51

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Solution

The fourth proportional to 357,106.34, 492,806.43 and 195,971.51 is: 270,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,106.34 : 492,806.43 = 195,971.51 : x
  2. Step 2: Convert to fraction form
    357,106.34/492,806.43 = 195,971.51/x
  3. Step 3: Cross multiply
    357,106.34x = 492,806.43 × 195,971.51
  4. Step 4: Simplify right side
    357,106.34x = 96,576,017,760.78
  5. Step 5: Solve for x
    x = 96,576,017,760.78/357,106.34
  6. Step 6: Final answer
    x = 270,440.51

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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.