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Finding the Fourth Proportional to 299,907.94, 413,872.02 and 163,941.93

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Solution

The fourth proportional to 299,907.94, 413,872.02 and 163,941.93 is: 226,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,907.94 : 413,872.02 = 163,941.93 : x
  2. Step 2: Convert to fraction form
    299,907.94/413,872.02 = 163,941.93/x
  3. Step 3: Cross multiply
    299,907.94x = 413,872.02 × 163,941.93
  4. Step 4: Simplify right side
    299,907.94x = 67,850,977,731.80
  5. Step 5: Solve for x
    x = 67,850,977,731.80/299,907.94
  6. Step 6: Final answer
    x = 226,239.35

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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.