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Finding the Fourth Proportional to 202,651.72, 303,982.80 and 96,010.72

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Solution

The fourth proportional to 202,651.72, 303,982.80 and 96,010.72 is: 144,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,651.72 : 303,982.80 = 96,010.72 : x
  2. Step 2: Convert to fraction form
    202,651.72/303,982.80 = 96,010.72/x
  3. Step 3: Cross multiply
    202,651.72x = 303,982.80 × 96,010.72
  4. Step 4: Simplify right side
    202,651.72x = 29,185,607,495.62
  5. Step 5: Solve for x
    x = 29,185,607,495.62/202,651.72
  6. Step 6: Final answer
    x = 144,018.55

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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.