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Finding the Fourth Proportional to 261,809.76, 392,764.32 and 119,664.48

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Solution

The fourth proportional to 261,809.76, 392,764.32 and 119,664.48 is: 179,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,809.76 : 392,764.32 = 119,664.48 : x
  2. Step 2: Convert to fraction form
    261,809.76/392,764.32 = 119,664.48/x
  3. Step 3: Cross multiply
    261,809.76x = 392,764.32 × 119,664.48
  4. Step 4: Simplify right side
    261,809.76x = 46,999,938,115.35
  5. Step 5: Solve for x
    x = 46,999,938,115.35/261,809.76
  6. Step 6: Final answer
    x = 179,519.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.