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Finding the Fourth Proportional to 199,065.75, 274,710.74 and 109,641.75

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Solution

The fourth proportional to 199,065.75, 274,710.74 and 109,641.75 is: 151,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,065.75 : 274,710.74 = 109,641.75 : x
  2. Step 2: Convert to fraction form
    199,065.75/274,710.74 = 109,641.75/x
  3. Step 3: Cross multiply
    199,065.75x = 274,710.74 × 109,641.75
  4. Step 4: Simplify right side
    199,065.75x = 30,119,766,277.40
  5. Step 5: Solve for x
    x = 30,119,766,277.40/199,065.75
  6. Step 6: Final answer
    x = 151,305.62

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1.5x scale

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.