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Finding the Fourth Proportional to 357,108.69, 492,817.52 and 195,962.33

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Solution

The fourth proportional to 357,108.69, 492,817.52 and 195,962.33 is: 270,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,108.69 : 492,817.52 = 195,962.33 : x
  2. Step 2: Convert to fraction form
    357,108.69/492,817.52 = 195,962.33/x
  3. Step 3: Cross multiply
    357,108.69x = 492,817.52 × 195,962.33
  4. Step 4: Simplify right side
    357,108.69x = 96,573,671,205.97
  5. Step 5: Solve for x
    x = 96,573,671,205.97/357,108.69
  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.