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Finding the Fourth Proportional to 138,972, 208,455.79 and 44,200.82

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Solution

The fourth proportional to 138,972, 208,455.79 and 44,200.82 is: 66,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972 : 208,455.79 = 44,200.82 : x
  2. Step 2: Convert to fraction form
    138,972/208,455.79 = 44,200.82/x
  3. Step 3: Cross multiply
    138,972x = 208,455.79 × 44,200.82
  4. Step 4: Simplify right side
    138,972x = 9,213,916,851.75
  5. Step 5: Solve for x
    x = 9,213,916,851.75/138,972
  6. Step 6: Final answer
    x = 66,300.53

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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.