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Finding the Fourth Proportional to 201,810.75, 278,531.64 and 116,977.02

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Solution

The fourth proportional to 201,810.75, 278,531.64 and 116,977.02 is: 161,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.75 : 278,531.64 = 116,977.02 : x
  2. Step 2: Convert to fraction form
    201,810.75/278,531.64 = 116,977.02/x
  3. Step 3: Cross multiply
    201,810.75x = 278,531.64 × 116,977.02
  4. Step 4: Simplify right side
    201,810.75x = 32,581,801,222.91
  5. Step 5: Solve for x
    x = 32,581,801,222.91/201,810.75
  6. Step 6: Final answer
    x = 161,447.30

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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.