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Finding the Fourth Proportional to 171,117.56, 256,676.38 and 46,458.56

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Solution

The fourth proportional to 171,117.56, 256,676.38 and 46,458.56 is: 69,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,117.56 : 256,676.38 = 46,458.56 : x
  2. Step 2: Convert to fraction form
    171,117.56/256,676.38 = 46,458.56/x
  3. Step 3: Cross multiply
    171,117.56x = 256,676.38 × 46,458.56
  4. Step 4: Simplify right side
    171,117.56x = 11,924,815,526.36
  5. Step 5: Solve for x
    x = 11,924,815,526.36/171,117.56
  6. Step 6: Final answer
    x = 69,687.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.