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Finding the Fourth Proportional to 209,925.44, 289,691.32 and 114,434

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Solution

The fourth proportional to 209,925.44, 289,691.32 and 114,434 is: 157,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,925.44 : 289,691.32 = 114,434 : x
  2. Step 2: Convert to fraction form
    209,925.44/289,691.32 = 114,434/x
  3. Step 3: Cross multiply
    209,925.44x = 289,691.32 × 114,434
  4. Step 4: Simplify right side
    209,925.44x = 33,150,536,512.88
  5. Step 5: Solve for x
    x = 33,150,536,512.88/209,925.44
  6. Step 6: Final answer
    x = 157,915.77

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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.