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Finding the Fourth Proportional to 195,678, 293,627.72 and 83,346.49

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Solution

The fourth proportional to 195,678, 293,627.72 and 83,346.49 is: 125,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,678 : 293,627.72 = 83,346.49 : x
  2. Step 2: Convert to fraction form
    195,678/293,627.72 = 83,346.49/x
  3. Step 3: Cross multiply
    195,678x = 293,627.72 × 83,346.49
  4. Step 4: Simplify right side
    195,678x = 24,472,839,828.70
  5. Step 5: Solve for x
    x = 24,472,839,828.70/195,678
  6. Step 6: Final answer
    x = 125,066.89

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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.