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Finding the Fourth Proportional to 201,942.10, 302,913.15 and 162,576.10

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Solution

The fourth proportional to 201,942.10, 302,913.15 and 162,576.10 is: 243,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.10 : 302,913.15 = 162,576.10 : x
  2. Step 2: Convert to fraction form
    201,942.10/302,913.15 = 162,576.10/x
  3. Step 3: Cross multiply
    201,942.10x = 302,913.15 × 162,576.10
  4. Step 4: Simplify right side
    201,942.10x = 49,246,438,565.72
  5. Step 5: Solve for x
    x = 49,246,438,565.72/201,942.10
  6. Step 6: Final answer
    x = 243,864.15

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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.