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Finding the Fourth Proportional to 255,289.72, 382,934.38 and 114,884.32

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Solution

The fourth proportional to 255,289.72, 382,934.38 and 114,884.32 is: 172,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,289.72 : 382,934.38 = 114,884.32 : x
  2. Step 2: Convert to fraction form
    255,289.72/382,934.38 = 114,884.32/x
  3. Step 3: Cross multiply
    255,289.72x = 382,934.38 × 114,884.32
  4. Step 4: Simplify right side
    255,289.72x = 43,993,155,850.92
  5. Step 5: Solve for x
    x = 43,993,155,850.92/255,289.72
  6. Step 6: Final answer
    x = 172,326.39

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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.