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Finding the Fourth Proportional to 137,580.41, 189,863.03 and 80,218.16

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Solution

The fourth proportional to 137,580.41, 189,863.03 and 80,218.16 is: 110,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.41 : 189,863.03 = 80,218.16 : x
  2. Step 2: Convert to fraction form
    137,580.41/189,863.03 = 80,218.16/x
  3. Step 3: Cross multiply
    137,580.41x = 189,863.03 × 80,218.16
  4. Step 4: Simplify right side
    137,580.41x = 15,230,463,593.83
  5. Step 5: Solve for x
    x = 15,230,463,593.83/137,580.41
  6. Step 6: Final answer
    x = 110,702.27

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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.