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Finding the Fourth Proportional to 202,152.30, 303,185.93 and 102,218.55

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Solution

The fourth proportional to 202,152.30, 303,185.93 and 102,218.55 is: 153,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.30 : 303,185.93 = 102,218.55 : x
  2. Step 2: Convert to fraction form
    202,152.30/303,185.93 = 102,218.55/x
  3. Step 3: Cross multiply
    202,152.30x = 303,185.93 × 102,218.55
  4. Step 4: Simplify right side
    202,152.30x = 30,991,225,633.91
  5. Step 5: Solve for x
    x = 30,991,225,633.91/202,152.30
  6. Step 6: Final answer
    x = 153,306.32

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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.