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Finding the Fourth Proportional to 310,093.56, 465,142.17 and 110,421.72

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Solution

The fourth proportional to 310,093.56, 465,142.17 and 110,421.72 is: 165,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,093.56 : 465,142.17 = 110,421.72 : x
  2. Step 2: Convert to fraction form
    310,093.56/465,142.17 = 110,421.72/x
  3. Step 3: Cross multiply
    310,093.56x = 465,142.17 × 110,421.72
  4. Step 4: Simplify right side
    310,093.56x = 51,361,798,455.93
  5. Step 5: Solve for x
    x = 51,361,798,455.93/310,093.56
  6. Step 6: Final answer
    x = 165,633.23

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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.