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Finding the Fourth Proportional to 133,847.55, 200,698.02 and 61,722.18

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Solution

The fourth proportional to 133,847.55, 200,698.02 and 61,722.18 is: 92,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,847.55 : 200,698.02 = 61,722.18 : x
  2. Step 2: Convert to fraction form
    133,847.55/200,698.02 = 61,722.18/x
  3. Step 3: Cross multiply
    133,847.55x = 200,698.02 × 61,722.18
  4. Step 4: Simplify right side
    133,847.55x = 12,387,519,316.08
  5. Step 5: Solve for x
    x = 12,387,519,316.08/133,847.55
  6. Step 6: Final answer
    x = 92,549.47

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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.