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Finding the Fourth Proportional to 201,435.60, 301,788.90 and 96,022.20

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Solution

The fourth proportional to 201,435.60, 301,788.90 and 96,022.20 is: 143,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,435.60 : 301,788.90 = 96,022.20 : x
  2. Step 2: Convert to fraction form
    201,435.60/301,788.90 = 96,022.20/x
  3. Step 3: Cross multiply
    201,435.60x = 301,788.90 × 96,022.20
  4. Step 4: Simplify right side
    201,435.60x = 28,978,434,113.58
  5. Step 5: Solve for x
    x = 28,978,434,113.58/201,435.60
  6. Step 6: Final answer
    x = 143,859.55

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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.