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Finding the Fourth Proportional to 209,854.78, 289,591.17 and 114,359.44

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Solution

The fourth proportional to 209,854.78, 289,591.17 and 114,359.44 is: 157,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.78 : 289,591.17 = 114,359.44 : x
  2. Step 2: Convert to fraction form
    209,854.78/289,591.17 = 114,359.44/x
  3. Step 3: Cross multiply
    209,854.78x = 289,591.17 × 114,359.44
  4. Step 4: Simplify right side
    209,854.78x = 33,117,484,030.14
  5. Step 5: Solve for x
    x = 33,117,484,030.14/209,854.78
  6. Step 6: Final answer
    x = 157,811.44

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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.