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Finding the Fourth Proportional to 224,051.85, 309,187.80 and 122,078.52

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Solution

The fourth proportional to 224,051.85, 309,187.80 and 122,078.52 is: 168,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,051.85 : 309,187.80 = 122,078.52 : x
  2. Step 2: Convert to fraction form
    224,051.85/309,187.80 = 122,078.52/x
  3. Step 3: Cross multiply
    224,051.85x = 309,187.80 × 122,078.52
  4. Step 4: Simplify right side
    224,051.85x = 37,745,189,026.06
  5. Step 5: Solve for x
    x = 37,745,189,026.06/224,051.85
  6. Step 6: Final answer
    x = 168,466.31

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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.