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Finding the Fourth Proportional to 202,032.46, 303,311.14 and 155,318.14

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Solution

The fourth proportional to 202,032.46, 303,311.14 and 155,318.14 is: 233,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.46 : 303,311.14 = 155,318.14 : x
  2. Step 2: Convert to fraction form
    202,032.46/303,311.14 = 155,318.14/x
  3. Step 3: Cross multiply
    202,032.46x = 303,311.14 × 155,318.14
  4. Step 4: Simplify right side
    202,032.46x = 47,109,722,106.08
  5. Step 5: Solve for x
    x = 47,109,722,106.08/202,032.46
  6. Step 6: Final answer
    x = 233,178.98

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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.