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Finding the Fourth Proportional to 202,432.60, 303,735.30 and 97,197.40

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Solution

The fourth proportional to 202,432.60, 303,735.30 and 97,197.40 is: 145,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,432.60 : 303,735.30 = 97,197.40 : x
  2. Step 2: Convert to fraction form
    202,432.60/303,735.30 = 97,197.40/x
  3. Step 3: Cross multiply
    202,432.60x = 303,735.30 × 97,197.40
  4. Step 4: Simplify right side
    202,432.60x = 29,522,281,448.22
  5. Step 5: Solve for x
    x = 29,522,281,448.22/202,432.60
  6. Step 6: Final answer
    x = 145,837.58

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