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Finding the Fourth Proportional to 170,155.86, 255,270.69 and 51,824.10

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Solution

The fourth proportional to 170,155.86, 255,270.69 and 51,824.10 is: 77,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,155.86 : 255,270.69 = 51,824.10 : x
  2. Step 2: Convert to fraction form
    170,155.86/255,270.69 = 51,824.10/x
  3. Step 3: Cross multiply
    170,155.86x = 255,270.69 × 51,824.10
  4. Step 4: Simplify right side
    170,155.86x = 13,229,173,765.63
  5. Step 5: Solve for x
    x = 13,229,173,765.63/170,155.86
  6. Step 6: Final answer
    x = 77,747.39

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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.