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Finding the Fourth Proportional to 180,051.72, 270,090.72 and 61,722.06

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Solution

The fourth proportional to 180,051.72, 270,090.72 and 61,722.06 is: 92,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,051.72 : 270,090.72 = 61,722.06 : x
  2. Step 2: Convert to fraction form
    180,051.72/270,090.72 = 61,722.06/x
  3. Step 3: Cross multiply
    180,051.72x = 270,090.72 × 61,722.06
  4. Step 4: Simplify right side
    180,051.72x = 16,670,555,625.28
  5. Step 5: Solve for x
    x = 16,670,555,625.28/180,051.72
  6. Step 6: Final answer
    x = 92,587.59

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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.