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Finding the Fourth Proportional to 205,333.40, 307,769.70 and 116,629.40

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Solution

The fourth proportional to 205,333.40, 307,769.70 and 116,629.40 is: 174,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,333.40 : 307,769.70 = 116,629.40 : x
  2. Step 2: Convert to fraction form
    205,333.40/307,769.70 = 116,629.40/x
  3. Step 3: Cross multiply
    205,333.40x = 307,769.70 × 116,629.40
  4. Step 4: Simplify right side
    205,333.40x = 35,894,995,449.18
  5. Step 5: Solve for x
    x = 35,894,995,449.18/205,333.40
  6. Step 6: Final answer
    x = 174,813.23

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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.