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Finding the Fourth Proportional to 122,780.88, 184,019.76 and 63,582.48

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Solution

The fourth proportional to 122,780.88, 184,019.76 and 63,582.48 is: 95,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,780.88 : 184,019.76 = 63,582.48 : x
  2. Step 2: Convert to fraction form
    122,780.88/184,019.76 = 63,582.48/x
  3. Step 3: Cross multiply
    122,780.88x = 184,019.76 × 63,582.48
  4. Step 4: Simplify right side
    122,780.88x = 11,700,432,709.80
  5. Step 5: Solve for x
    x = 11,700,432,709.80/122,780.88
  6. Step 6: Final answer
    x = 95,295.23

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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.