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Finding the Fourth Proportional to 113,635, 170,477.11 and 43,514.31

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Solution

The fourth proportional to 113,635, 170,477.11 and 43,514.31 is: 65,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,635 : 170,477.11 = 43,514.31 : x
  2. Step 2: Convert to fraction form
    113,635/170,477.11 = 43,514.31/x
  3. Step 3: Cross multiply
    113,635x = 170,477.11 × 43,514.31
  4. Step 4: Simplify right side
    113,635x = 7,418,194,021.07
  5. Step 5: Solve for x
    x = 7,418,194,021.07/113,635
  6. Step 6: Final answer
    x = 65,280.89

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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.