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Finding the Fourth Proportional to 223,198.56, 307,835.88 and 146,796.12

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Solution

The fourth proportional to 223,198.56, 307,835.88 and 146,796.12 is: 202,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.56 : 307,835.88 = 146,796.12 : x
  2. Step 2: Convert to fraction form
    223,198.56/307,835.88 = 146,796.12/x
  3. Step 3: Cross multiply
    223,198.56x = 307,835.88 × 146,796.12
  4. Step 4: Simplify right side
    223,198.56x = 45,189,110,507.63
  5. Step 5: Solve for x
    x = 45,189,110,507.63/223,198.56
  6. Step 6: Final answer
    x = 202,461.48

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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.