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Finding the Fourth Proportional to 137,189.36, 189,350.88 and 83,491.64

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Solution

The fourth proportional to 137,189.36, 189,350.88 and 83,491.64 is: 115,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189.36 : 189,350.88 = 83,491.64 : x
  2. Step 2: Convert to fraction form
    137,189.36/189,350.88 = 83,491.64/x
  3. Step 3: Cross multiply
    137,189.36x = 189,350.88 × 83,491.64
  4. Step 4: Simplify right side
    137,189.36x = 15,809,215,506.64
  5. Step 5: Solve for x
    x = 15,809,215,506.64/137,189.36
  6. Step 6: Final answer
    x = 115,236.45

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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.