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Finding the Fourth Proportional to 195,070, 269,196.60 and 105,646

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Solution

The fourth proportional to 195,070, 269,196.60 and 105,646 is: 145,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,070 : 269,196.60 = 105,646 : x
  2. Step 2: Convert to fraction form
    195,070/269,196.60 = 105,646/x
  3. Step 3: Cross multiply
    195,070x = 269,196.60 × 105,646
  4. Step 4: Simplify right side
    195,070x = 28,439,544,003.60
  5. Step 5: Solve for x
    x = 28,439,544,003.60/195,070
  6. Step 6: Final answer
    x = 145,791.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.