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Finding the Fourth Proportional to 224,220.89, 309,432.29 and 133,564.48

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Solution

The fourth proportional to 224,220.89, 309,432.29 and 133,564.48 is: 184,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,220.89 : 309,432.29 = 133,564.48 : x
  2. Step 2: Convert to fraction form
    224,220.89/309,432.29 = 133,564.48/x
  3. Step 3: Cross multiply
    224,220.89x = 309,432.29 × 133,564.48
  4. Step 4: Simplify right side
    224,220.89x = 41,329,161,467.66
  5. Step 5: Solve for x
    x = 41,329,161,467.66/224,220.89
  6. Step 6: Final answer
    x = 184,323.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.