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Finding the Fourth Proportional to 128,306.52, 192,467.64 and 49,420.98

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Solution

The fourth proportional to 128,306.52, 192,467.64 and 49,420.98 is: 74,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,306.52 : 192,467.64 = 49,420.98 : x
  2. Step 2: Convert to fraction form
    128,306.52/192,467.64 = 49,420.98/x
  3. Step 3: Cross multiply
    128,306.52x = 192,467.64 × 49,420.98
  4. Step 4: Simplify right side
    128,306.52x = 9,511,939,387.09
  5. Step 5: Solve for x
    x = 9,511,939,387.09/128,306.52
  6. Step 6: Final answer
    x = 74,134.50

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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.