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Finding the Fourth Proportional to 260,952.96, 360,116.46 and 146,231.86

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Solution

The fourth proportional to 260,952.96, 360,116.46 and 146,231.86 is: 201,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,952.96 : 360,116.46 = 146,231.86 : x
  2. Step 2: Convert to fraction form
    260,952.96/360,116.46 = 146,231.86/x
  3. Step 3: Cross multiply
    260,952.96x = 360,116.46 × 146,231.86
  4. Step 4: Simplify right side
    260,952.96x = 52,660,499,762.42
  5. Step 5: Solve for x
    x = 52,660,499,762.42/260,952.96
  6. Step 6: Final answer
    x = 201,800.74

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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.