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Finding the Fourth Proportional to 131,693, 181,736.34 and 72,077

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Solution

The fourth proportional to 131,693, 181,736.34 and 72,077 is: 99,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,693 : 181,736.34 = 72,077 : x
  2. Step 2: Convert to fraction form
    131,693/181,736.34 = 72,077/x
  3. Step 3: Cross multiply
    131,693x = 181,736.34 × 72,077
  4. Step 4: Simplify right side
    131,693x = 13,099,010,178.18
  5. Step 5: Solve for x
    x = 13,099,010,178.18/131,693
  6. Step 6: Final answer
    x = 99,466.26

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