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Finding the Fourth Proportional to 180,459.75, 270,537.37 and 113,752.81

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Solution

The fourth proportional to 180,459.75, 270,537.37 and 113,752.81 is: 170,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,459.75 : 270,537.37 = 113,752.81 : x
  2. Step 2: Convert to fraction form
    180,459.75/270,537.37 = 113,752.81/x
  3. Step 3: Cross multiply
    180,459.75x = 270,537.37 × 113,752.81
  4. Step 4: Simplify right side
    180,459.75x = 30,774,384,579.53
  5. Step 5: Solve for x
    x = 30,774,384,579.53/180,459.75
  6. Step 6: Final answer
    x = 170,533.23

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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.