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Finding the Fourth Proportional to 180,477.64, 270,871.98 and 125,112.52

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Solution

The fourth proportional to 180,477.64, 270,871.98 and 125,112.52 is: 187,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,477.64 : 270,871.98 = 125,112.52 : x
  2. Step 2: Convert to fraction form
    180,477.64/270,871.98 = 125,112.52/x
  3. Step 3: Cross multiply
    180,477.64x = 270,871.98 × 125,112.52
  4. Step 4: Simplify right side
    180,477.64x = 33,889,476,015.19
  5. Step 5: Solve for x
    x = 33,889,476,015.19/180,477.64
  6. Step 6: Final answer
    x = 187,776.59

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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.