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Finding the Fourth Proportional to 209,519.96, 289,132.00 and 114,024.60

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Solution

The fourth proportional to 209,519.96, 289,132.00 and 114,024.60 is: 157,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,519.96 : 289,132.00 = 114,024.60 : x
  2. Step 2: Convert to fraction form
    209,519.96/289,132.00 = 114,024.60/x
  3. Step 3: Cross multiply
    209,519.96x = 289,132.00 × 114,024.60
  4. Step 4: Simplify right side
    209,519.96x = 32,968,160,362.14
  5. Step 5: Solve for x
    x = 32,968,160,362.14/209,519.96
  6. Step 6: Final answer
    x = 157,350.93

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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.