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Finding the Fourth Proportional to 273,988.75, 411,106.25 and 174,123.04

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Solution

The fourth proportional to 273,988.75, 411,106.25 and 174,123.04 is: 261,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988.75 : 411,106.25 = 174,123.04 : x
  2. Step 2: Convert to fraction form
    273,988.75/411,106.25 = 174,123.04/x
  3. Step 3: Cross multiply
    273,988.75x = 411,106.25 × 174,123.04
  4. Step 4: Simplify right side
    273,988.75x = 71,583,070,013
  5. Step 5: Solve for x
    x = 71,583,070,013/273,988.75
  6. Step 6: Final answer
    x = 261,262.81

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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.