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Finding the Fourth Proportional to 122,997.80, 184,442.70 and 56,415.80

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Solution

The fourth proportional to 122,997.80, 184,442.70 and 56,415.80 is: 84,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,997.80 : 184,442.70 = 56,415.80 : x
  2. Step 2: Convert to fraction form
    122,997.80/184,442.70 = 56,415.80/x
  3. Step 3: Cross multiply
    122,997.80x = 184,442.70 × 56,415.80
  4. Step 4: Simplify right side
    122,997.80x = 10,405,482,474.66
  5. Step 5: Solve for x
    x = 10,405,482,474.66/122,997.80
  6. Step 6: Final answer
    x = 84,598.93

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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.