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Finding the Fourth Proportional to 147,142, 203,041.92 and 82,596.46

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Solution

The fourth proportional to 147,142, 203,041.92 and 82,596.46 is: 113,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142 : 203,041.92 = 82,596.46 : x
  2. Step 2: Convert to fraction form
    147,142/203,041.92 = 82,596.46/x
  3. Step 3: Cross multiply
    147,142x = 203,041.92 × 82,596.46
  4. Step 4: Simplify right side
    147,142x = 16,770,543,823.60
  5. Step 5: Solve for x
    x = 16,770,543,823.60/147,142
  6. Step 6: Final answer
    x = 113,975.23

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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.