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Finding the Fourth Proportional to 209,645.62, 289,311.63 and 114,152.89

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Solution

The fourth proportional to 209,645.62, 289,311.63 and 114,152.89 is: 157,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,645.62 : 289,311.63 = 114,152.89 : x
  2. Step 2: Convert to fraction form
    209,645.62/289,311.63 = 114,152.89/x
  3. Step 3: Cross multiply
    209,645.62x = 289,311.63 × 114,152.89
  4. Step 4: Simplify right side
    209,645.62x = 33,025,758,675.11
  5. Step 5: Solve for x
    x = 33,025,758,675.11/209,645.62
  6. Step 6: Final answer
    x = 157,531.36

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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.