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Finding the Fourth Proportional to 202,309.60, 303,464.40 and 97,333.60

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Solution

The fourth proportional to 202,309.60, 303,464.40 and 97,333.60 is: 146,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.60 : 303,464.40 = 97,333.60 : x
  2. Step 2: Convert to fraction form
    202,309.60/303,464.40 = 97,333.60/x
  3. Step 3: Cross multiply
    202,309.60x = 303,464.40 × 97,333.60
  4. Step 4: Simplify right side
    202,309.60x = 29,537,282,523.84
  5. Step 5: Solve for x
    x = 29,537,282,523.84/202,309.60
  6. Step 6: Final answer
    x = 146,000.40

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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.