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Finding the Fourth Proportional to 162,283.44, 243,069.12 and 133,884

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Solution

The fourth proportional to 162,283.44, 243,069.12 and 133,884 is: 200,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,283.44 : 243,069.12 = 133,884 : x
  2. Step 2: Convert to fraction form
    162,283.44/243,069.12 = 133,884/x
  3. Step 3: Cross multiply
    162,283.44x = 243,069.12 × 133,884
  4. Step 4: Simplify right side
    162,283.44x = 32,543,066,062.08
  5. Step 5: Solve for x
    x = 32,543,066,062.08/162,283.44
  6. Step 6: Final answer
    x = 200,532.27

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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.