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Finding the Fourth Proportional to 230,342.46, 317,763.99 and 134,790.54

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Solution

The fourth proportional to 230,342.46, 317,763.99 and 134,790.54 is: 185,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,342.46 : 317,763.99 = 134,790.54 : x
  2. Step 2: Convert to fraction form
    230,342.46/317,763.99 = 134,790.54/x
  3. Step 3: Cross multiply
    230,342.46x = 317,763.99 × 134,790.54
  4. Step 4: Simplify right side
    230,342.46x = 42,831,579,804.65
  5. Step 5: Solve for x
    x = 42,831,579,804.65/230,342.46
  6. Step 6: Final answer
    x = 185,947.39

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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.