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Finding the Fourth Proportional to 264,829.50, 397,244.25 and 67,837.50

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Solution

The fourth proportional to 264,829.50, 397,244.25 and 67,837.50 is: 101,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.50 : 397,244.25 = 67,837.50 : x
  2. Step 2: Convert to fraction form
    264,829.50/397,244.25 = 67,837.50/x
  3. Step 3: Cross multiply
    264,829.50x = 397,244.25 × 67,837.50
  4. Step 4: Simplify right side
    264,829.50x = 26,948,056,809.38
  5. Step 5: Solve for x
    x = 26,948,056,809.38/264,829.50
  6. Step 6: Final answer
    x = 101,756.25

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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.