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Finding the Fourth Proportional to 209,891.52, 289,641.42 and 114,395.94

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Solution

The fourth proportional to 209,891.52, 289,641.42 and 114,395.94 is: 157,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.52 : 289,641.42 = 114,395.94 : x
  2. Step 2: Convert to fraction form
    209,891.52/289,641.42 = 114,395.94/x
  3. Step 3: Cross multiply
    209,891.52x = 289,641.42 × 114,395.94
  4. Step 4: Simplify right side
    209,891.52x = 33,133,802,503.83
  5. Step 5: Solve for x
    x = 33,133,802,503.83/209,891.52
  6. Step 6: Final answer
    x = 157,861.56

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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.