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Finding the Fourth Proportional to 195,294, 269,505.72 and 105,870

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Solution

The fourth proportional to 195,294, 269,505.72 and 105,870 is: 146,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,294 : 269,505.72 = 105,870 : x
  2. Step 2: Convert to fraction form
    195,294/269,505.72 = 105,870/x
  3. Step 3: Cross multiply
    195,294x = 269,505.72 × 105,870
  4. Step 4: Simplify right side
    195,294x = 28,532,570,576.40
  5. Step 5: Solve for x
    x = 28,532,570,576.40/195,294
  6. Step 6: Final answer
    x = 146,100.60

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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.