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Finding the Fourth Proportional to 202,383.66, 303,762.18 and 102,613.50

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Solution

The fourth proportional to 202,383.66, 303,762.18 and 102,613.50 is: 154,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,383.66 : 303,762.18 = 102,613.50 : x
  2. Step 2: Convert to fraction form
    202,383.66/303,762.18 = 102,613.50/x
  3. Step 3: Cross multiply
    202,383.66x = 303,762.18 × 102,613.50
  4. Step 4: Simplify right side
    202,383.66x = 31,170,100,457.43
  5. Step 5: Solve for x
    x = 31,170,100,457.43/202,383.66
  6. Step 6: Final answer
    x = 154,014.91

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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.