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Finding the Fourth Proportional to 133,784.08, 200,706.84 and 45,035.22

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Solution

The fourth proportional to 133,784.08, 200,706.84 and 45,035.22 is: 67,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.08 : 200,706.84 = 45,035.22 : x
  2. Step 2: Convert to fraction form
    133,784.08/200,706.84 = 45,035.22/x
  3. Step 3: Cross multiply
    133,784.08x = 200,706.84 × 45,035.22
  4. Step 4: Simplify right side
    133,784.08x = 9,038,876,694.90
  5. Step 5: Solve for x
    x = 9,038,876,694.90/133,784.08
  6. Step 6: Final answer
    x = 67,563.17

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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.