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Finding the Fourth Proportional to 264,022.16, 396,050.52 and 77,018

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Solution

The fourth proportional to 264,022.16, 396,050.52 and 77,018 is: 115,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,022.16 : 396,050.52 = 77,018 : x
  2. Step 2: Convert to fraction form
    264,022.16/396,050.52 = 77,018/x
  3. Step 3: Cross multiply
    264,022.16x = 396,050.52 × 77,018
  4. Step 4: Simplify right side
    264,022.16x = 30,503,018,949.36
  5. Step 5: Solve for x
    x = 30,503,018,949.36/264,022.16
  6. Step 6: Final answer
    x = 115,532.04

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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.