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Finding the Fourth Proportional to 357,114.55, 492,816.62 and 195,972.29

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Solution

The fourth proportional to 357,114.55, 492,816.62 and 195,972.29 is: 270,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.55 : 492,816.62 = 195,972.29 : x
  2. Step 2: Convert to fraction form
    357,114.55/492,816.62 = 195,972.29/x
  3. Step 3: Cross multiply
    357,114.55x = 492,816.62 × 195,972.29
  4. Step 4: Simplify right side
    357,114.55x = 96,578,398,127.52
  5. Step 5: Solve for x
    x = 96,578,398,127.52/357,114.55
  6. Step 6: Final answer
    x = 270,440.95

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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.