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Finding the Fourth Proportional to 357,090.12, 492,767.80 and 195,941.16

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Solution

The fourth proportional to 357,090.12, 492,767.80 and 195,941.16 is: 270,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,090.12 : 492,767.80 = 195,941.16 : x
  2. Step 2: Convert to fraction form
    357,090.12/492,767.80 = 195,941.16/x
  3. Step 3: Cross multiply
    357,090.12x = 492,767.80 × 195,941.16
  4. Step 4: Simplify right side
    357,090.12x = 96,553,494,342.65
  5. Step 5: Solve for x
    x = 96,553,494,342.65/357,090.12
  6. Step 6: Final answer
    x = 270,389.71

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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.