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Finding the Fourth Proportional to 200,167.86, 300,294.60 and 73,808.46

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Solution

The fourth proportional to 200,167.86, 300,294.60 and 73,808.46 is: 110,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,167.86 : 300,294.60 = 73,808.46 : x
  2. Step 2: Convert to fraction form
    200,167.86/300,294.60 = 73,808.46/x
  3. Step 3: Cross multiply
    200,167.86x = 300,294.60 × 73,808.46
  4. Step 4: Simplify right side
    200,167.86x = 22,164,281,972.32
  5. Step 5: Solve for x
    x = 22,164,281,972.32/200,167.86
  6. Step 6: Final answer
    x = 110,728.48

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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.