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Finding the Fourth Proportional to 209,454.30, 289,038.29 and 113,961.37

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Solution

The fourth proportional to 209,454.30, 289,038.29 and 113,961.37 is: 157,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,454.30 : 289,038.29 = 113,961.37 : x
  2. Step 2: Convert to fraction form
    209,454.30/289,038.29 = 113,961.37/x
  3. Step 3: Cross multiply
    209,454.30x = 289,038.29 × 113,961.37
  4. Step 4: Simplify right side
    209,454.30x = 32,939,199,510.86
  5. Step 5: Solve for x
    x = 32,939,199,510.86/209,454.30
  6. Step 6: Final answer
    x = 157,261.99

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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.