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Finding the Fourth Proportional to 195,697, 270,061.86 and 106,273

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Solution

The fourth proportional to 195,697, 270,061.86 and 106,273 is: 146,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,697 : 270,061.86 = 106,273 : x
  2. Step 2: Convert to fraction form
    195,697/270,061.86 = 106,273/x
  3. Step 3: Cross multiply
    195,697x = 270,061.86 × 106,273
  4. Step 4: Simplify right side
    195,697x = 28,700,284,047.78
  5. Step 5: Solve for x
    x = 28,700,284,047.78/195,697
  6. Step 6: Final answer
    x = 146,656.74

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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.