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Finding the Fourth Proportional to 272,487.60, 376,043.76 and 164,997

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Solution

The fourth proportional to 272,487.60, 376,043.76 and 164,997 is: 227,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,487.60 : 376,043.76 = 164,997 : x
  2. Step 2: Convert to fraction form
    272,487.60/376,043.76 = 164,997/x
  3. Step 3: Cross multiply
    272,487.60x = 376,043.76 × 164,997
  4. Step 4: Simplify right side
    272,487.60x = 62,046,092,268.72
  5. Step 5: Solve for x
    x = 62,046,092,268.72/272,487.60
  6. Step 6: Final answer
    x = 227,702.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.