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Finding the Fourth Proportional to 209,858.64, 289,596.50 and 114,363.28

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Solution

The fourth proportional to 209,858.64, 289,596.50 and 114,363.28 is: 157,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.64 : 289,596.50 = 114,363.28 : x
  2. Step 2: Convert to fraction form
    209,858.64/289,596.50 = 114,363.28/x
  3. Step 3: Cross multiply
    209,858.64x = 289,596.50 × 114,363.28
  4. Step 4: Simplify right side
    209,858.64x = 33,119,205,044.70
  5. Step 5: Solve for x
    x = 33,119,205,044.70/209,858.64
  6. Step 6: Final answer
    x = 157,816.74

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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.