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Finding the Fourth Proportional to 201,710.60, 302,565.90 and 96,734.60

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Solution

The fourth proportional to 201,710.60, 302,565.90 and 96,734.60 is: 145,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.60 : 302,565.90 = 96,734.60 : x
  2. Step 2: Convert to fraction form
    201,710.60/302,565.90 = 96,734.60/x
  3. Step 3: Cross multiply
    201,710.60x = 302,565.90 × 96,734.60
  4. Step 4: Simplify right side
    201,710.60x = 29,268,591,310.14
  5. Step 5: Solve for x
    x = 29,268,591,310.14/201,710.60
  6. Step 6: Final answer
    x = 145,101.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.