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Finding the Fourth Proportional to 219,407.31, 302,765.36 and 123,923.79

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Solution

The fourth proportional to 219,407.31, 302,765.36 and 123,923.79 is: 171,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,407.31 : 302,765.36 = 123,923.79 : x
  2. Step 2: Convert to fraction form
    219,407.31/302,765.36 = 123,923.79/x
  3. Step 3: Cross multiply
    219,407.31x = 302,765.36 × 123,923.79
  4. Step 4: Simplify right side
    219,407.31x = 37,519,830,272.30
  5. Step 5: Solve for x
    x = 37,519,830,272.30/219,407.31
  6. Step 6: Final answer
    x = 171,005.38

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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.