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Finding the Fourth Proportional to 261,437.22, 360,790.50 and 146,722.86

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Solution

The fourth proportional to 261,437.22, 360,790.50 and 146,722.86 is: 202,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,437.22 : 360,790.50 = 146,722.86 : x
  2. Step 2: Convert to fraction form
    261,437.22/360,790.50 = 146,722.86/x
  3. Step 3: Cross multiply
    261,437.22x = 360,790.50 × 146,722.86
  4. Step 4: Simplify right side
    261,437.22x = 52,936,214,020.83
  5. Step 5: Solve for x
    x = 52,936,214,020.83/261,437.22
  6. Step 6: Final answer
    x = 202,481.55

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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.