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Finding the Fourth Proportional to 225,964.46, 338,596.59 and 142,683.50

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Solution

The fourth proportional to 225,964.46, 338,596.59 and 142,683.50 is: 213,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,964.46 : 338,596.59 = 142,683.50 : x
  2. Step 2: Convert to fraction form
    225,964.46/338,596.59 = 142,683.50/x
  3. Step 3: Cross multiply
    225,964.46x = 338,596.59 × 142,683.50
  4. Step 4: Simplify right side
    225,964.46x = 48,312,146,549.27
  5. Step 5: Solve for x
    x = 48,312,146,549.27/225,964.46
  6. Step 6: Final answer
    x = 213,804.18

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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.