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Finding the Fourth Proportional to 139,857.99, 193,017.96 and 85,407.15

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Solution

The fourth proportional to 139,857.99, 193,017.96 and 85,407.15 is: 117,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857.99 : 193,017.96 = 85,407.15 : x
  2. Step 2: Convert to fraction form
    139,857.99/193,017.96 = 85,407.15/x
  3. Step 3: Cross multiply
    139,857.99x = 193,017.96 × 85,407.15
  4. Step 4: Simplify right side
    139,857.99x = 16,485,113,435.38
  5. Step 5: Solve for x
    x = 16,485,113,435.38/139,857.99
  6. Step 6: Final answer
    x = 117,870.38

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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.