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Finding the Fourth Proportional to 213,757.23, 294,899.24 and 123,064.54

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Solution

The fourth proportional to 213,757.23, 294,899.24 and 123,064.54 is: 169,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,757.23 : 294,899.24 = 123,064.54 : x
  2. Step 2: Convert to fraction form
    213,757.23/294,899.24 = 123,064.54/x
  3. Step 3: Cross multiply
    213,757.23x = 294,899.24 × 123,064.54
  4. Step 4: Simplify right side
    213,757.23x = 36,291,639,316.95
  5. Step 5: Solve for x
    x = 36,291,639,316.95/213,757.23
  6. Step 6: Final answer
    x = 169,779.70

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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.