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Finding the Fourth Proportional to 182,378.25, 273,568.59 and 57,719.25

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Solution

The fourth proportional to 182,378.25, 273,568.59 and 57,719.25 is: 86,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,378.25 : 273,568.59 = 57,719.25 : x
  2. Step 2: Convert to fraction form
    182,378.25/273,568.59 = 57,719.25/x
  3. Step 3: Cross multiply
    182,378.25x = 273,568.59 × 57,719.25
  4. Step 4: Simplify right side
    182,378.25x = 15,790,173,838.36
  5. Step 5: Solve for x
    x = 15,790,173,838.36/182,378.25
  6. Step 6: Final answer
    x = 86,579.26

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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.