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Finding the Fourth Proportional to 230,558.96, 318,228.41 and 157,092.93

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Solution

The fourth proportional to 230,558.96, 318,228.41 and 157,092.93 is: 216,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558.96 : 318,228.41 = 157,092.93 : x
  2. Step 2: Convert to fraction form
    230,558.96/318,228.41 = 157,092.93/x
  3. Step 3: Cross multiply
    230,558.96x = 318,228.41 × 157,092.93
  4. Step 4: Simplify right side
    230,558.96x = 49,991,432,550.68
  5. Step 5: Solve for x
    x = 49,991,432,550.68/230,558.96
  6. Step 6: Final answer
    x = 216,827.11

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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.