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Finding the Fourth Proportional to 202,936.32, 304,482.24 and 76,567.68

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Solution

The fourth proportional to 202,936.32, 304,482.24 and 76,567.68 is: 114,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,936.32 : 304,482.24 = 76,567.68 : x
  2. Step 2: Convert to fraction form
    202,936.32/304,482.24 = 76,567.68/x
  3. Step 3: Cross multiply
    202,936.32x = 304,482.24 × 76,567.68
  4. Step 4: Simplify right side
    202,936.32x = 23,313,498,718.00
  5. Step 5: Solve for x
    x = 23,313,498,718.00/202,936.32
  6. Step 6: Final answer
    x = 114,880.86

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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.