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Finding the Fourth Proportional to 184,463.31, 254,559.87 and 106,954.01

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Solution

The fourth proportional to 184,463.31, 254,559.87 and 106,954.01 is: 147,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,463.31 : 254,559.87 = 106,954.01 : x
  2. Step 2: Convert to fraction form
    184,463.31/254,559.87 = 106,954.01/x
  3. Step 3: Cross multiply
    184,463.31x = 254,559.87 × 106,954.01
  4. Step 4: Simplify right side
    184,463.31x = 27,226,198,881.58
  5. Step 5: Solve for x
    x = 27,226,198,881.58/184,463.31
  6. Step 6: Final answer
    x = 147,596.82

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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.