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Finding the Fourth Proportional to 122,996.16, 184,512 and 59,820

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Solution

The fourth proportional to 122,996.16, 184,512 and 59,820 is: 89,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,996.16 : 184,512 = 59,820 : x
  2. Step 2: Convert to fraction form
    122,996.16/184,512 = 59,820/x
  3. Step 3: Cross multiply
    122,996.16x = 184,512 × 59,820
  4. Step 4: Simplify right side
    122,996.16x = 11,037,507,840
  5. Step 5: Solve for x
    x = 11,037,507,840/122,996.16
  6. Step 6: Final answer
    x = 89,738.64

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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.