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Finding the Fourth Proportional to 174,399, 261,601.02 and 49,740

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Solution

The fourth proportional to 174,399, 261,601.02 and 49,740 is: 74,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,399 : 261,601.02 = 49,740 : x
  2. Step 2: Convert to fraction form
    174,399/261,601.02 = 49,740/x
  3. Step 3: Cross multiply
    174,399x = 261,601.02 × 49,740
  4. Step 4: Simplify right side
    174,399x = 13,012,034,734.80
  5. Step 5: Solve for x
    x = 13,012,034,734.80/174,399
  6. Step 6: Final answer
    x = 74,610.72

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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.