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Finding the Fourth Proportional to 453,408.90, 680,137.68 and 137,841.84

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Solution

The fourth proportional to 453,408.90, 680,137.68 and 137,841.84 is: 206,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,408.90 : 680,137.68 = 137,841.84 : x
  2. Step 2: Convert to fraction form
    453,408.90/680,137.68 = 137,841.84/x
  3. Step 3: Cross multiply
    453,408.90x = 680,137.68 × 137,841.84
  4. Step 4: Simplify right side
    453,408.90x = 93,751,429,264.53
  5. Step 5: Solve for x
    x = 93,751,429,264.53/453,408.90
  6. Step 6: Final answer
    x = 206,770.16

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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.