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Finding the Fourth Proportional to 209,535.99, 289,158.84 and 114,043.47

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Solution

The fourth proportional to 209,535.99, 289,158.84 and 114,043.47 is: 157,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,535.99 : 289,158.84 = 114,043.47 : x
  2. Step 2: Convert to fraction form
    209,535.99/289,158.84 = 114,043.47/x
  3. Step 3: Cross multiply
    209,535.99x = 289,158.84 × 114,043.47
  4. Step 4: Simplify right side
    209,535.99x = 32,976,677,494.77
  5. Step 5: Solve for x
    x = 32,976,677,494.77/209,535.99
  6. Step 6: Final answer
    x = 157,379.54

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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.