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Finding the Fourth Proportional to 218,414.57, 301,505.10 and 146,836.10

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Solution

The fourth proportional to 218,414.57, 301,505.10 and 146,836.10 is: 202,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414.57 : 301,505.10 = 146,836.10 : x
  2. Step 2: Convert to fraction form
    218,414.57/301,505.10 = 146,836.10/x
  3. Step 3: Cross multiply
    218,414.57x = 301,505.10 × 146,836.10
  4. Step 4: Simplify right side
    218,414.57x = 44,271,833,217.24
  5. Step 5: Solve for x
    x = 44,271,833,217.24/218,414.57
  6. Step 6: Final answer
    x = 202,696.34

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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.