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Finding the Fourth Proportional to 243,458.52, 365,182.90 and 110,313.96

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Solution

The fourth proportional to 243,458.52, 365,182.90 and 110,313.96 is: 165,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,458.52 : 365,182.90 = 110,313.96 : x
  2. Step 2: Convert to fraction form
    243,458.52/365,182.90 = 110,313.96/x
  3. Step 3: Cross multiply
    243,458.52x = 365,182.90 × 110,313.96
  4. Step 4: Simplify right side
    243,458.52x = 40,284,771,823.28
  5. Step 5: Solve for x
    x = 40,284,771,823.28/243,458.52
  6. Step 6: Final answer
    x = 165,468.73

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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.