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Finding the Fourth Proportional to 202,430.94, 303,450.57 and 97,224.54

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Solution

The fourth proportional to 202,430.94, 303,450.57 and 97,224.54 is: 145,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,430.94 : 303,450.57 = 97,224.54 : x
  2. Step 2: Convert to fraction form
    202,430.94/303,450.57 = 97,224.54/x
  3. Step 3: Cross multiply
    202,430.94x = 303,450.57 × 97,224.54
  4. Step 4: Simplify right side
    202,430.94x = 29,502,842,080.99
  5. Step 5: Solve for x
    x = 29,502,842,080.99/202,430.94
  6. Step 6: Final answer
    x = 145,742.75

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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.