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Finding the Fourth Proportional to 260,978.36, 360,175.41 and 146,276.48

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Solution

The fourth proportional to 260,978.36, 360,175.41 and 146,276.48 is: 201,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,978.36 : 360,175.41 = 146,276.48 : x
  2. Step 2: Convert to fraction form
    260,978.36/360,175.41 = 146,276.48/x
  3. Step 3: Cross multiply
    260,978.36x = 360,175.41 × 146,276.48
  4. Step 4: Simplify right side
    260,978.36x = 52,685,192,057.80
  5. Step 5: Solve for x
    x = 52,685,192,057.80/260,978.36
  6. Step 6: Final answer
    x = 201,875.72

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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.