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Finding the Fourth Proportional to 133,830.54, 200,775.51 and 40,329.54

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Solution

The fourth proportional to 133,830.54, 200,775.51 and 40,329.54 is: 60,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830.54 : 200,775.51 = 40,329.54 : x
  2. Step 2: Convert to fraction form
    133,830.54/200,775.51 = 40,329.54/x
  3. Step 3: Cross multiply
    133,830.54x = 200,775.51 × 40,329.54
  4. Step 4: Simplify right side
    133,830.54x = 8,097,183,961.57
  5. Step 5: Solve for x
    x = 8,097,183,961.57/133,830.54
  6. Step 6: Final answer
    x = 60,503.26

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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.