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Finding the Fourth Proportional to 294,121.50, 441,182.25 and 72,505.50

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Solution

The fourth proportional to 294,121.50, 441,182.25 and 72,505.50 is: 108,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,121.50 : 441,182.25 = 72,505.50 : x
  2. Step 2: Convert to fraction form
    294,121.50/441,182.25 = 72,505.50/x
  3. Step 3: Cross multiply
    294,121.50x = 441,182.25 × 72,505.50
  4. Step 4: Simplify right side
    294,121.50x = 31,988,139,627.38
  5. Step 5: Solve for x
    x = 31,988,139,627.38/294,121.50
  6. Step 6: Final answer
    x = 108,758.25

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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.