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Finding the Fourth Proportional to 137,483.17, 189,739 and 80,119.38

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Solution

The fourth proportional to 137,483.17, 189,739 and 80,119.38 is: 110,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.17 : 189,739 = 80,119.38 : x
  2. Step 2: Convert to fraction form
    137,483.17/189,739 = 80,119.38/x
  3. Step 3: Cross multiply
    137,483.17x = 189,739 × 80,119.38
  4. Step 4: Simplify right side
    137,483.17x = 15,201,771,041.82
  5. Step 5: Solve for x
    x = 15,201,771,041.82/137,483.17
  6. Step 6: Final answer
    x = 110,571.87

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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.