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Finding the Fourth Proportional to 195,893.84, 293,951.48 and 83,563.45

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Solution

The fourth proportional to 195,893.84, 293,951.48 and 83,563.45 is: 125,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,893.84 : 293,951.48 = 83,563.45 : x
  2. Step 2: Convert to fraction form
    195,893.84/293,951.48 = 83,563.45/x
  3. Step 3: Cross multiply
    195,893.84x = 293,951.48 × 83,563.45
  4. Step 4: Simplify right side
    195,893.84x = 24,563,599,118.75
  5. Step 5: Solve for x
    x = 24,563,599,118.75/195,893.84
  6. Step 6: Final answer
    x = 125,392.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.