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Finding the Fourth Proportional to 202,052.80, 303,262.80 and 102,282.40

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Solution

The fourth proportional to 202,052.80, 303,262.80 and 102,282.40 is: 153,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052.80 : 303,262.80 = 102,282.40 : x
  2. Step 2: Convert to fraction form
    202,052.80/303,262.80 = 102,282.40/x
  3. Step 3: Cross multiply
    202,052.80x = 303,262.80 × 102,282.40
  4. Step 4: Simplify right side
    202,052.80x = 31,018,447,014.72
  5. Step 5: Solve for x
    x = 31,018,447,014.72/202,052.80
  6. Step 6: Final answer
    x = 153,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.