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Finding the Fourth Proportional to 195,194, 269,368.04 and 105,770

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Solution

The fourth proportional to 195,194, 269,368.04 and 105,770 is: 145,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,194 : 269,368.04 = 105,770 : x
  2. Step 2: Convert to fraction form
    195,194/269,368.04 = 105,770/x
  3. Step 3: Cross multiply
    195,194x = 269,368.04 × 105,770
  4. Step 4: Simplify right side
    195,194x = 28,491,057,590.80
  5. Step 5: Solve for x
    x = 28,491,057,590.80/195,194
  6. Step 6: Final answer
    x = 145,962.77

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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.