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Finding the Fourth Proportional to 199,088, 274,741.44 and 109,664

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Solution

The fourth proportional to 199,088, 274,741.44 and 109,664 is: 151,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,088 : 274,741.44 = 109,664 : x
  2. Step 2: Convert to fraction form
    199,088/274,741.44 = 109,664/x
  3. Step 3: Cross multiply
    199,088x = 274,741.44 × 109,664
  4. Step 4: Simplify right side
    199,088x = 30,129,245,276.16
  5. Step 5: Solve for x
    x = 30,129,245,276.16/199,088
  6. Step 6: Final answer
    x = 151,336.32

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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.