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Finding the Fourth Proportional to 140,514.58, 210,772.23 and 57,408.58

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Solution

The fourth proportional to 140,514.58, 210,772.23 and 57,408.58 is: 86,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,514.58 : 210,772.23 = 57,408.58 : x
  2. Step 2: Convert to fraction form
    140,514.58/210,772.23 = 57,408.58/x
  3. Step 3: Cross multiply
    140,514.58x = 210,772.23 × 57,408.58
  4. Step 4: Simplify right side
    140,514.58x = 12,100,134,427.73
  5. Step 5: Solve for x
    x = 12,100,134,427.73/140,514.58
  6. Step 6: Final answer
    x = 86,113.02

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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.