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Finding the Fourth Proportional to 192,099.16, 265,097.16 and 107,216.20

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Solution

The fourth proportional to 192,099.16, 265,097.16 and 107,216.20 is: 147,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,099.16 : 265,097.16 = 107,216.20 : x
  2. Step 2: Convert to fraction form
    192,099.16/265,097.16 = 107,216.20/x
  3. Step 3: Cross multiply
    192,099.16x = 265,097.16 × 107,216.20
  4. Step 4: Simplify right side
    192,099.16x = 28,422,710,125.99
  5. Step 5: Solve for x
    x = 28,422,710,125.99/192,099.16
  6. Step 6: Final answer
    x = 147,958.53

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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.