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Finding the Fourth Proportional to 209,447.30, 289,038.54 and 113,954.70

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Solution

The fourth proportional to 209,447.30, 289,038.54 and 113,954.70 is: 157,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,447.30 : 289,038.54 = 113,954.70 : x
  2. Step 2: Convert to fraction form
    209,447.30/289,038.54 = 113,954.70/x
  3. Step 3: Cross multiply
    209,447.30x = 289,038.54 × 113,954.70
  4. Step 4: Simplify right side
    209,447.30x = 32,937,300,114.14
  5. Step 5: Solve for x
    x = 32,937,300,114.14/209,447.30
  6. Step 6: Final answer
    x = 157,258.17

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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.