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Finding the Fourth Proportional to 139,860.49, 193,021.41 and 85,409.65

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Solution

The fourth proportional to 139,860.49, 193,021.41 and 85,409.65 is: 117,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,860.49 : 193,021.41 = 85,409.65 : x
  2. Step 2: Convert to fraction form
    139,860.49/193,021.41 = 85,409.65/x
  3. Step 3: Cross multiply
    139,860.49x = 193,021.41 × 85,409.65
  4. Step 4: Simplify right side
    139,860.49x = 16,485,891,070.61
  5. Step 5: Solve for x
    x = 16,485,891,070.61/139,860.49
  6. Step 6: Final answer
    x = 117,873.83

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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.