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Finding the Fourth Proportional to 357,108.80, 492,817.68 and 195,962.45

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Solution

The fourth proportional to 357,108.80, 492,817.68 and 195,962.45 is: 270,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,108.80 : 492,817.68 = 195,962.45 : x
  2. Step 2: Convert to fraction form
    357,108.80/492,817.68 = 195,962.45/x
  3. Step 3: Cross multiply
    357,108.80x = 492,817.68 × 195,962.45
  4. Step 4: Simplify right side
    357,108.80x = 96,573,757,512.03
  5. Step 5: Solve for x
    x = 96,573,757,512.03/357,108.80
  6. Step 6: Final answer
    x = 270,432.31

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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.