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Finding the Fourth Proportional to 260,817.61, 359,932.87 and 146,095.26

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Solution

The fourth proportional to 260,817.61, 359,932.87 and 146,095.26 is: 201,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,817.61 : 359,932.87 = 146,095.26 : x
  2. Step 2: Convert to fraction form
    260,817.61/359,932.87 = 146,095.26/x
  3. Step 3: Cross multiply
    260,817.61x = 359,932.87 × 146,095.26
  4. Step 4: Simplify right side
    260,817.61x = 52,584,486,225.20
  5. Step 5: Solve for x
    x = 52,584,486,225.20/260,817.61
  6. Step 6: Final answer
    x = 201,614.02

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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.