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Finding the Fourth Proportional to 209,333.76, 288,734.22 and 137,690.88

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Solution

The fourth proportional to 209,333.76, 288,734.22 and 137,690.88 is: 189,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,333.76 : 288,734.22 = 137,690.88 : x
  2. Step 2: Convert to fraction form
    209,333.76/288,734.22 = 137,690.88/x
  3. Step 3: Cross multiply
    209,333.76x = 288,734.22 × 137,690.88
  4. Step 4: Simplify right side
    209,333.76x = 39,756,068,837.91
  5. Step 5: Solve for x
    x = 39,756,068,837.91/209,333.76
  6. Step 6: Final answer
    x = 189,917.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.