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Finding the Fourth Proportional to 213,419.72, 320,166.30 and 95,088.44

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Solution

The fourth proportional to 213,419.72, 320,166.30 and 95,088.44 is: 142,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419.72 : 320,166.30 = 95,088.44 : x
  2. Step 2: Convert to fraction form
    213,419.72/320,166.30 = 95,088.44/x
  3. Step 3: Cross multiply
    213,419.72x = 320,166.30 × 95,088.44
  4. Step 4: Simplify right side
    213,419.72x = 30,444,114,007.57
  5. Step 5: Solve for x
    x = 30,444,114,007.57/213,419.72
  6. Step 6: Final answer
    x = 142,649.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.