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Finding the Fourth Proportional to 270,652.60, 405,978.90 and 83,663.80

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Solution

The fourth proportional to 270,652.60, 405,978.90 and 83,663.80 is: 125,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,652.60 : 405,978.90 = 83,663.80 : x
  2. Step 2: Convert to fraction form
    270,652.60/405,978.90 = 83,663.80/x
  3. Step 3: Cross multiply
    270,652.60x = 405,978.90 × 83,663.80
  4. Step 4: Simplify right side
    270,652.60x = 33,965,737,493.82
  5. Step 5: Solve for x
    x = 33,965,737,493.82/270,652.60
  6. Step 6: Final answer
    x = 125,495.70

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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.