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Finding the Fourth Proportional to 184,652.97, 254,821.22 and 99,770.01

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Solution

The fourth proportional to 184,652.97, 254,821.22 and 99,770.01 is: 137,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,652.97 : 254,821.22 = 99,770.01 : x
  2. Step 2: Convert to fraction form
    184,652.97/254,821.22 = 99,770.01/x
  3. Step 3: Cross multiply
    184,652.97x = 254,821.22 × 99,770.01
  4. Step 4: Simplify right side
    184,652.97x = 25,423,515,168.76
  5. Step 5: Solve for x
    x = 25,423,515,168.76/184,652.97
  6. Step 6: Final answer
    x = 137,682.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.