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Finding the Fourth Proportional to 181,963, 272,906.82 and 48,811.60

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Solution

The fourth proportional to 181,963, 272,906.82 and 48,811.60 is: 73,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,963 : 272,906.82 = 48,811.60 : x
  2. Step 2: Convert to fraction form
    181,963/272,906.82 = 48,811.60/x
  3. Step 3: Cross multiply
    181,963x = 272,906.82 × 48,811.60
  4. Step 4: Simplify right side
    181,963x = 13,321,018,535.11
  5. Step 5: Solve for x
    x = 13,321,018,535.11/181,963
  6. Step 6: Final answer
    x = 73,207.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.