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Finding the Fourth Proportional to 182,145.75, 273,250.23 and 55,783

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Solution

The fourth proportional to 182,145.75, 273,250.23 and 55,783 is: 83,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,145.75 : 273,250.23 = 55,783 : x
  2. Step 2: Convert to fraction form
    182,145.75/273,250.23 = 55,783/x
  3. Step 3: Cross multiply
    182,145.75x = 273,250.23 × 55,783
  4. Step 4: Simplify right side
    182,145.75x = 15,242,717,580.09
  5. Step 5: Solve for x
    x = 15,242,717,580.09/182,145.75
  6. Step 6: Final answer
    x = 83,684.18

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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.