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Finding the Fourth Proportional to 202,356.46, 303,567.54 and 76,006.54

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Solution

The fourth proportional to 202,356.46, 303,567.54 and 76,006.54 is: 114,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356.46 : 303,567.54 = 76,006.54 : x
  2. Step 2: Convert to fraction form
    202,356.46/303,567.54 = 76,006.54/x
  3. Step 3: Cross multiply
    202,356.46x = 303,567.54 × 76,006.54
  4. Step 4: Simplify right side
    202,356.46x = 23,073,118,371.71
  5. Step 5: Solve for x
    x = 23,073,118,371.71/202,356.46
  6. Step 6: Final answer
    x = 114,022.15

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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.