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Finding the Fourth Proportional to 357,107.10, 492,806.73 and 193,762.89

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Solution

The fourth proportional to 357,107.10, 492,806.73 and 193,762.89 is: 267,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,107.10 : 492,806.73 = 193,762.89 : x
  2. Step 2: Convert to fraction form
    357,107.10/492,806.73 = 193,762.89/x
  3. Step 3: Cross multiply
    357,107.10x = 492,806.73 × 193,762.89
  4. Step 4: Simplify right side
    357,107.10x = 95,487,656,216.25
  5. Step 5: Solve for x
    x = 95,487,656,216.25/357,107.10
  6. Step 6: Final answer
    x = 267,392.21

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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.