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Finding the Fourth Proportional to 357,134.62, 492,830.27 and 195,992.36

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Solution

The fourth proportional to 357,134.62, 492,830.27 and 195,992.36 is: 270,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,134.62 : 492,830.27 = 195,992.36 : x
  2. Step 2: Convert to fraction form
    357,134.62/492,830.27 = 195,992.36/x
  3. Step 3: Cross multiply
    357,134.62x = 492,830.27 × 195,992.36
  4. Step 4: Simplify right side
    357,134.62x = 96,590,967,938.17
  5. Step 5: Solve for x
    x = 96,590,967,938.17/357,134.62
  6. Step 6: Final answer
    x = 270,460.95

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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.