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Finding the Fourth Proportional to 139,857.49, 193,017.27 and 85,406.65

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Solution

The fourth proportional to 139,857.49, 193,017.27 and 85,406.65 is: 117,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857.49 : 193,017.27 = 85,406.65 : x
  2. Step 2: Convert to fraction form
    139,857.49/193,017.27 = 85,406.65/x
  3. Step 3: Cross multiply
    139,857.49x = 193,017.27 × 85,406.65
  4. Step 4: Simplify right side
    139,857.49x = 16,484,957,995.81
  5. Step 5: Solve for x
    x = 16,484,957,995.81/139,857.49
  6. Step 6: Final answer
    x = 117,869.69

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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.