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Finding the Fourth Proportional to 194,673.44, 268,493.16 and 134,230.16

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Solution

The fourth proportional to 194,673.44, 268,493.16 and 134,230.16 is: 185,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,673.44 : 268,493.16 = 134,230.16 : x
  2. Step 2: Convert to fraction form
    194,673.44/268,493.16 = 134,230.16/x
  3. Step 3: Cross multiply
    194,673.44x = 268,493.16 × 134,230.16
  4. Step 4: Simplify right side
    194,673.44x = 36,039,879,825.71
  5. Step 5: Solve for x
    x = 36,039,879,825.71/194,673.44
  6. Step 6: Final answer
    x = 185,129.93

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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.