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Finding the Fourth Proportional to 202,303.40, 303,212.10 and 83,913.80

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Solution

The fourth proportional to 202,303.40, 303,212.10 and 83,913.80 is: 125,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303.40 : 303,212.10 = 83,913.80 : x
  2. Step 2: Convert to fraction form
    202,303.40/303,212.10 = 83,913.80/x
  3. Step 3: Cross multiply
    202,303.40x = 303,212.10 × 83,913.80
  4. Step 4: Simplify right side
    202,303.40x = 25,443,679,516.98
  5. Step 5: Solve for x
    x = 25,443,679,516.98/202,303.40
  6. Step 6: Final answer
    x = 125,769.91

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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.