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Finding the Fourth Proportional to 202,122.68, 303,430.05 and 102,231.45

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Solution

The fourth proportional to 202,122.68, 303,430.05 and 102,231.45 is: 153,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122.68 : 303,430.05 = 102,231.45 : x
  2. Step 2: Convert to fraction form
    202,122.68/303,430.05 = 102,231.45/x
  3. Step 3: Cross multiply
    202,122.68x = 303,430.05 × 102,231.45
  4. Step 4: Simplify right side
    202,122.68x = 31,020,093,985.07
  5. Step 5: Solve for x
    x = 31,020,093,985.07/202,122.68
  6. Step 6: Final answer
    x = 153,471.62

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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.