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Finding the Fourth Proportional to 137,882.54, 190,298.48 and 84,198.68

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Solution

The fourth proportional to 137,882.54, 190,298.48 and 84,198.68 is: 116,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.54 : 190,298.48 = 84,198.68 : x
  2. Step 2: Convert to fraction form
    137,882.54/190,298.48 = 84,198.68/x
  3. Step 3: Cross multiply
    137,882.54x = 190,298.48 × 84,198.68
  4. Step 4: Simplify right side
    137,882.54x = 16,022,880,822.01
  5. Step 5: Solve for x
    x = 16,022,880,822.01/137,882.54
  6. Step 6: Final answer
    x = 116,206.74

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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.