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Finding the Fourth Proportional to 209,435.63, 289,022.45 and 113,943.01

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Solution

The fourth proportional to 209,435.63, 289,022.45 and 113,943.01 is: 157,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.63 : 289,022.45 = 113,943.01 : x
  2. Step 2: Convert to fraction form
    209,435.63/289,022.45 = 113,943.01/x
  3. Step 3: Cross multiply
    209,435.63x = 289,022.45 × 113,943.01
  4. Step 4: Simplify right side
    209,435.63x = 32,932,087,973.10
  5. Step 5: Solve for x
    x = 32,932,087,973.10/209,435.63
  6. Step 6: Final answer
    x = 157,242.05

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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.