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Finding the Fourth Proportional to 219,540.80, 328,850.40 and 120,929.60

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Solution

The fourth proportional to 219,540.80, 328,850.40 and 120,929.60 is: 181,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,540.80 : 328,850.40 = 120,929.60 : x
  2. Step 2: Convert to fraction form
    219,540.80/328,850.40 = 120,929.60/x
  3. Step 3: Cross multiply
    219,540.80x = 328,850.40 × 120,929.60
  4. Step 4: Simplify right side
    219,540.80x = 39,767,747,331.84
  5. Step 5: Solve for x
    x = 39,767,747,331.84/219,540.80
  6. Step 6: Final answer
    x = 181,140.58

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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.