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Finding the Fourth Proportional to 357,100.28, 492,798.08 and 195,965.45

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Solution

The fourth proportional to 357,100.28, 492,798.08 and 195,965.45 is: 270,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,100.28 : 492,798.08 = 195,965.45 : x
  2. Step 2: Convert to fraction form
    357,100.28/492,798.08 = 195,965.45/x
  3. Step 3: Cross multiply
    357,100.28x = 492,798.08 × 195,965.45
  4. Step 4: Simplify right side
    357,100.28x = 96,571,394,062.52
  5. Step 5: Solve for x
    x = 96,571,394,062.52/357,100.28
  6. Step 6: Final answer
    x = 270,432.15

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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.