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Finding the Fourth Proportional to 200,866.20, 301,376.10 and 197,717.40

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Solution

The fourth proportional to 200,866.20, 301,376.10 and 197,717.40 is: 296,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.20 : 301,376.10 = 197,717.40 : x
  2. Step 2: Convert to fraction form
    200,866.20/301,376.10 = 197,717.40/x
  3. Step 3: Cross multiply
    200,866.20x = 301,376.10 × 197,717.40
  4. Step 4: Simplify right side
    200,866.20x = 59,587,298,914.14
  5. Step 5: Solve for x
    x = 59,587,298,914.14/200,866.20
  6. Step 6: Final answer
    x = 296,651.70

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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.