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Finding the Fourth Proportional to 209,810.22, 289,541.34 and 114,316.92

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Solution

The fourth proportional to 209,810.22, 289,541.34 and 114,316.92 is: 157,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.22 : 289,541.34 = 114,316.92 : x
  2. Step 2: Convert to fraction form
    209,810.22/289,541.34 = 114,316.92/x
  3. Step 3: Cross multiply
    209,810.22x = 289,541.34 × 114,316.92
  4. Step 4: Simplify right side
    209,810.22x = 33,099,474,201.47
  5. Step 5: Solve for x
    x = 33,099,474,201.47/209,810.22
  6. Step 6: Final answer
    x = 157,759.11

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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.