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Finding the Fourth Proportional to 228,739.31, 343,106.47 and 93,773.27

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Solution

The fourth proportional to 228,739.31, 343,106.47 and 93,773.27 is: 140,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,739.31 : 343,106.47 = 93,773.27 : x
  2. Step 2: Convert to fraction form
    228,739.31/343,106.47 = 93,773.27/x
  3. Step 3: Cross multiply
    228,739.31x = 343,106.47 × 93,773.27
  4. Step 4: Simplify right side
    228,739.31x = 32,174,213,465.66
  5. Step 5: Solve for x
    x = 32,174,213,465.66/228,739.31
  6. Step 6: Final answer
    x = 140,658.87

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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.