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Finding the Fourth Proportional to 253,791.34, 380,710.49 and 83,014.02

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Solution

The fourth proportional to 253,791.34, 380,710.49 and 83,014.02 is: 124,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,791.34 : 380,710.49 = 83,014.02 : x
  2. Step 2: Convert to fraction form
    253,791.34/380,710.49 = 83,014.02/x
  3. Step 3: Cross multiply
    253,791.34x = 380,710.49 × 83,014.02
  4. Step 4: Simplify right side
    253,791.34x = 31,604,308,231.07
  5. Step 5: Solve for x
    x = 31,604,308,231.07/253,791.34
  6. Step 6: Final answer
    x = 124,528.71

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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.