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Finding the Fourth Proportional to 122,778.84, 184,131.90 and 52,641.48

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Solution

The fourth proportional to 122,778.84, 184,131.90 and 52,641.48 is: 78,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,778.84 : 184,131.90 = 52,641.48 : x
  2. Step 2: Convert to fraction form
    122,778.84/184,131.90 = 52,641.48/x
  3. Step 3: Cross multiply
    122,778.84x = 184,131.90 × 52,641.48
  4. Step 4: Simplify right side
    122,778.84x = 9,692,975,731.21
  5. Step 5: Solve for x
    x = 9,692,975,731.21/122,778.84
  6. Step 6: Final answer
    x = 78,946.63

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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.