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Finding the Fourth Proportional to 201,775, 278,449.52 and 116,941.28

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Solution

The fourth proportional to 201,775, 278,449.52 and 116,941.28 is: 161,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775 : 278,449.52 = 116,941.28 : x
  2. Step 2: Convert to fraction form
    201,775/278,449.52 = 116,941.28/x
  3. Step 3: Cross multiply
    201,775x = 278,449.52 × 116,941.28
  4. Step 4: Simplify right side
    201,775x = 32,562,243,284.19
  5. Step 5: Solve for x
    x = 32,562,243,284.19/201,775
  6. Step 6: Final answer
    x = 161,378.98

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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.