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Finding the Fourth Proportional to 208,696.70, 288,000.42 and 116,816.42

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Solution

The fourth proportional to 208,696.70, 288,000.42 and 116,816.42 is: 161,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,696.70 : 288,000.42 = 116,816.42 : x
  2. Step 2: Convert to fraction form
    208,696.70/288,000.42 = 116,816.42/x
  3. Step 3: Cross multiply
    208,696.70x = 288,000.42 × 116,816.42
  4. Step 4: Simplify right side
    208,696.70x = 33,643,178,022.90
  5. Step 5: Solve for x
    x = 33,643,178,022.90/208,696.70
  6. Step 6: Final answer
    x = 161,206.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.