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Finding the Fourth Proportional to 208,853.32, 288,209.86 and 113,357.96

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Solution

The fourth proportional to 208,853.32, 288,209.86 and 113,357.96 is: 156,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.32 : 288,209.86 = 113,357.96 : x
  2. Step 2: Convert to fraction form
    208,853.32/288,209.86 = 113,357.96/x
  3. Step 3: Cross multiply
    208,853.32x = 288,209.86 × 113,357.96
  4. Step 4: Simplify right side
    208,853.32x = 32,670,883,396.65
  5. Step 5: Solve for x
    x = 32,670,883,396.65/208,853.32
  6. Step 6: Final answer
    x = 156,429.80

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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.