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Finding the Fourth Proportional to 209,200.40, 288,696.92 and 113,706.84

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Solution

The fourth proportional to 209,200.40, 288,696.92 and 113,706.84 is: 156,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.40 : 288,696.92 = 113,706.84 : x
  2. Step 2: Convert to fraction form
    209,200.40/288,696.92 = 113,706.84/x
  3. Step 3: Cross multiply
    209,200.40x = 288,696.92 × 113,706.84
  4. Step 4: Simplify right side
    209,200.40x = 32,826,814,490.93
  5. Step 5: Solve for x
    x = 32,826,814,490.93/209,200.40
  6. Step 6: Final answer
    x = 156,915.64

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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.