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Finding the Fourth Proportional to 133,964.68, 200,946.90 and 40,470.40

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Solution

The fourth proportional to 133,964.68, 200,946.90 and 40,470.40 is: 60,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,964.68 : 200,946.90 = 40,470.40 : x
  2. Step 2: Convert to fraction form
    133,964.68/200,946.90 = 40,470.40/x
  3. Step 3: Cross multiply
    133,964.68x = 200,946.90 × 40,470.40
  4. Step 4: Simplify right side
    133,964.68x = 8,132,401,421.76
  5. Step 5: Solve for x
    x = 8,132,401,421.76/133,964.68
  6. Step 6: Final answer
    x = 60,705.56

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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.