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Finding the Fourth Proportional to 162,851.63, 224,735.24 and 91,231.63

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Solution

The fourth proportional to 162,851.63, 224,735.24 and 91,231.63 is: 125,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,851.63 : 224,735.24 = 91,231.63 : x
  2. Step 2: Convert to fraction form
    162,851.63/224,735.24 = 91,231.63/x
  3. Step 3: Cross multiply
    162,851.63x = 224,735.24 × 91,231.63
  4. Step 4: Simplify right side
    162,851.63x = 20,502,961,929.88
  5. Step 5: Solve for x
    x = 20,502,961,929.88/162,851.63
  6. Step 6: Final answer
    x = 125,899.65

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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.