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Finding the Fourth Proportional to 257,509.96, 355,357.36 and 142,789.08

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Solution

The fourth proportional to 257,509.96, 355,357.36 and 142,789.08 is: 197,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,509.96 : 355,357.36 = 142,789.08 : x
  2. Step 2: Convert to fraction form
    257,509.96/355,357.36 = 142,789.08/x
  3. Step 3: Cross multiply
    257,509.96x = 355,357.36 × 142,789.08
  4. Step 4: Simplify right side
    257,509.96x = 50,741,150,505.63
  5. Step 5: Solve for x
    x = 50,741,150,505.63/257,509.96
  6. Step 6: Final answer
    x = 197,045.39

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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.