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Finding the Fourth Proportional to 184,984.80, 277,477.20 and 106,034.10

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Solution

The fourth proportional to 184,984.80, 277,477.20 and 106,034.10 is: 159,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,984.80 : 277,477.20 = 106,034.10 : x
  2. Step 2: Convert to fraction form
    184,984.80/277,477.20 = 106,034.10/x
  3. Step 3: Cross multiply
    184,984.80x = 277,477.20 × 106,034.10
  4. Step 4: Simplify right side
    184,984.80x = 29,422,045,172.52
  5. Step 5: Solve for x
    x = 29,422,045,172.52/184,984.80
  6. Step 6: Final answer
    x = 159,051.15

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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.