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Finding the Fourth Proportional to 200,648.64, 300,942.24 and 52,916.16

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Solution

The fourth proportional to 200,648.64, 300,942.24 and 52,916.16 is: 79,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648.64 : 300,942.24 = 52,916.16 : x
  2. Step 2: Convert to fraction form
    200,648.64/300,942.24 = 52,916.16/x
  3. Step 3: Cross multiply
    200,648.64x = 300,942.24 × 52,916.16
  4. Step 4: Simplify right side
    200,648.64x = 15,924,707,722.60
  5. Step 5: Solve for x
    x = 15,924,707,722.60/200,648.64
  6. Step 6: Final answer
    x = 79,366.14

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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.