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Finding the Fourth Proportional to 200,770.08, 301,182.91 and 67,688.39

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Solution

The fourth proportional to 200,770.08, 301,182.91 and 67,688.39 is: 101,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.08 : 301,182.91 = 67,688.39 : x
  2. Step 2: Convert to fraction form
    200,770.08/301,182.91 = 67,688.39/x
  3. Step 3: Cross multiply
    200,770.08x = 301,182.91 × 67,688.39
  4. Step 4: Simplify right side
    200,770.08x = 20,386,586,857.15
  5. Step 5: Solve for x
    x = 20,386,586,857.15/200,770.08
  6. Step 6: Final answer
    x = 101,541.96

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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.