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Finding the Fourth Proportional to 180,393.48, 270,514.12 and 54,051.68

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Solution

The fourth proportional to 180,393.48, 270,514.12 and 54,051.68 is: 81,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,393.48 : 270,514.12 = 54,051.68 : x
  2. Step 2: Convert to fraction form
    180,393.48/270,514.12 = 54,051.68/x
  3. Step 3: Cross multiply
    180,393.48x = 270,514.12 × 54,051.68
  4. Step 4: Simplify right side
    180,393.48x = 14,621,742,649.72
  5. Step 5: Solve for x
    x = 14,621,742,649.72/180,393.48
  6. Step 6: Final answer
    x = 81,054.72

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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.