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Finding the Fourth Proportional to 261,446.34, 360,795.96 and 148,269.09

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Solution

The fourth proportional to 261,446.34, 360,795.96 and 148,269.09 is: 204,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,446.34 : 360,795.96 = 148,269.09 : x
  2. Step 2: Convert to fraction form
    261,446.34/360,795.96 = 148,269.09/x
  3. Step 3: Cross multiply
    261,446.34x = 360,795.96 × 148,269.09
  4. Step 4: Simplify right side
    261,446.34x = 53,494,890,017.86
  5. Step 5: Solve for x
    x = 53,494,890,017.86/261,446.34
  6. Step 6: Final answer
    x = 204,611.35

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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.