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Finding the Fourth Proportional to 224,505.82, 309,820.89 and 132,628.11

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Solution

The fourth proportional to 224,505.82, 309,820.89 and 132,628.11 is: 183,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,505.82 : 309,820.89 = 132,628.11 : x
  2. Step 2: Convert to fraction form
    224,505.82/309,820.89 = 132,628.11/x
  3. Step 3: Cross multiply
    224,505.82x = 309,820.89 × 132,628.11
  4. Step 4: Simplify right side
    224,505.82x = 41,090,959,079.22
  5. Step 5: Solve for x
    x = 41,090,959,079.22/224,505.82
  6. Step 6: Final answer
    x = 183,028.48

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Why These Related Problems?

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