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Finding the Fourth Proportional to 230,113.87, 317,285.42 and 157,551.94

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Solution

The fourth proportional to 230,113.87, 317,285.42 and 157,551.94 is: 217,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,113.87 : 317,285.42 = 157,551.94 : x
  2. Step 2: Convert to fraction form
    230,113.87/317,285.42 = 157,551.94/x
  3. Step 3: Cross multiply
    230,113.87x = 317,285.42 × 157,551.94
  4. Step 4: Simplify right side
    230,113.87x = 49,988,933,063.56
  5. Step 5: Solve for x
    x = 49,988,933,063.56/230,113.87
  6. Step 6: Final answer
    x = 217,235.64

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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.