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Finding the Fourth Proportional to 299,891.73, 413,810.51 and 192,607.07

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Solution

The fourth proportional to 299,891.73, 413,810.51 and 192,607.07 is: 265,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.73 : 413,810.51 = 192,607.07 : x
  2. Step 2: Convert to fraction form
    299,891.73/413,810.51 = 192,607.07/x
  3. Step 3: Cross multiply
    299,891.73x = 413,810.51 × 192,607.07
  4. Step 4: Simplify right side
    299,891.73x = 79,702,829,937.80
  5. Step 5: Solve for x
    x = 79,702,829,937.80/299,891.73
  6. Step 6: Final answer
    x = 265,772.02

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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.