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Finding the Fourth Proportional to 201,905.25, 278,629.25 and 117,071.52

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Solution

The fourth proportional to 201,905.25, 278,629.25 and 117,071.52 is: 161,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905.25 : 278,629.25 = 117,071.52 : x
  2. Step 2: Convert to fraction form
    201,905.25/278,629.25 = 117,071.52/x
  3. Step 3: Cross multiply
    201,905.25x = 278,629.25 × 117,071.52
  4. Step 4: Simplify right side
    201,905.25x = 32,619,549,228.60
  5. Step 5: Solve for x
    x = 32,619,549,228.60/201,905.25
  6. Step 6: Final answer
    x = 161,558.70

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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.