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Finding the Fourth Proportional to 209,909.25, 289,670.46 and 114,415.11

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Solution

The fourth proportional to 209,909.25, 289,670.46 and 114,415.11 is: 157,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.25 : 289,670.46 = 114,415.11 : x
  2. Step 2: Convert to fraction form
    209,909.25/289,670.46 = 114,415.11/x
  3. Step 3: Cross multiply
    209,909.25x = 289,670.46 × 114,415.11
  4. Step 4: Simplify right side
    209,909.25x = 33,142,677,544.65
  5. Step 5: Solve for x
    x = 33,142,677,544.65/209,909.25
  6. Step 6: Final answer
    x = 157,890.51

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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.