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Finding the Fourth Proportional to 185,056.72, 255,315.48 and 120,496.48

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Solution

The fourth proportional to 185,056.72, 255,315.48 and 120,496.48 is: 166,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,056.72 : 255,315.48 = 120,496.48 : x
  2. Step 2: Convert to fraction form
    185,056.72/255,315.48 = 120,496.48/x
  3. Step 3: Cross multiply
    185,056.72x = 255,315.48 × 120,496.48
  4. Step 4: Simplify right side
    185,056.72x = 30,764,616,629.51
  5. Step 5: Solve for x
    x = 30,764,616,629.51/185,056.72
  6. Step 6: Final answer
    x = 166,244.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.