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Finding the Fourth Proportional to 198,509.56, 273,955.44 and 113,624.80

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Solution

The fourth proportional to 198,509.56, 273,955.44 and 113,624.80 is: 156,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.56 : 273,955.44 = 113,624.80 : x
  2. Step 2: Convert to fraction form
    198,509.56/273,955.44 = 113,624.80/x
  3. Step 3: Cross multiply
    198,509.56x = 273,955.44 × 113,624.80
  4. Step 4: Simplify right side
    198,509.56x = 31,128,132,078.91
  5. Step 5: Solve for x
    x = 31,128,132,078.91/198,509.56
  6. Step 6: Final answer
    x = 156,809.23

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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.