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Finding the Fourth Proportional to 200,576.40, 300,864.60 and 161,210.40

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Solution

The fourth proportional to 200,576.40, 300,864.60 and 161,210.40 is: 241,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576.40 : 300,864.60 = 161,210.40 : x
  2. Step 2: Convert to fraction form
    200,576.40/300,864.60 = 161,210.40/x
  3. Step 3: Cross multiply
    200,576.40x = 300,864.60 × 161,210.40
  4. Step 4: Simplify right side
    200,576.40x = 48,502,502,511.84
  5. Step 5: Solve for x
    x = 48,502,502,511.84/200,576.40
  6. Step 6: Final answer
    x = 241,815.60

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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.