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Finding the Fourth Proportional to 299,277.63, 448,816.85 and 96,825.65

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Solution

The fourth proportional to 299,277.63, 448,816.85 and 96,825.65 is: 145,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,277.63 : 448,816.85 = 96,825.65 : x
  2. Step 2: Convert to fraction form
    299,277.63/448,816.85 = 96,825.65/x
  3. Step 3: Cross multiply
    299,277.63x = 448,816.85 × 96,825.65
  4. Step 4: Simplify right side
    299,277.63x = 43,456,980,503.99
  5. Step 5: Solve for x
    x = 43,456,980,503.99/299,277.63
  6. Step 6: Final answer
    x = 145,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.