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Finding the Fourth Proportional to 180,080.64, 269,905.23 and 83,888.19

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Solution

The fourth proportional to 180,080.64, 269,905.23 and 83,888.19 is: 125,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,080.64 : 269,905.23 = 83,888.19 : x
  2. Step 2: Convert to fraction form
    180,080.64/269,905.23 = 83,888.19/x
  3. Step 3: Cross multiply
    180,080.64x = 269,905.23 × 83,888.19
  4. Step 4: Simplify right side
    180,080.64x = 22,641,861,216.23
  5. Step 5: Solve for x
    x = 22,641,861,216.23/180,080.64
  6. Step 6: Final answer
    x = 125,731.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.