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Finding the Fourth Proportional to 220,026, 330,045.48 and 53,814

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Solution

The fourth proportional to 220,026, 330,045.48 and 53,814 is: 80,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,026 : 330,045.48 = 53,814 : x
  2. Step 2: Convert to fraction form
    220,026/330,045.48 = 53,814/x
  3. Step 3: Cross multiply
    220,026x = 330,045.48 × 53,814
  4. Step 4: Simplify right side
    220,026x = 17,761,067,460.72
  5. Step 5: Solve for x
    x = 17,761,067,460.72/220,026
  6. Step 6: Final answer
    x = 80,722.58

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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.