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Finding the Fourth Proportional to 260,744.73, 359,797.98 and 146,007.42

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Solution

The fourth proportional to 260,744.73, 359,797.98 and 146,007.42 is: 201,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,744.73 : 359,797.98 = 146,007.42 : x
  2. Step 2: Convert to fraction form
    260,744.73/359,797.98 = 146,007.42/x
  3. Step 3: Cross multiply
    260,744.73x = 359,797.98 × 146,007.42
  4. Step 4: Simplify right side
    260,744.73x = 52,533,172,251.98
  5. Step 5: Solve for x
    x = 52,533,172,251.98/260,744.73
  6. Step 6: Final answer
    x = 201,473.58

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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.