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Finding the Fourth Proportional to 262,652.48, 394,101.76 and 129,460.16

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Solution

The fourth proportional to 262,652.48, 394,101.76 and 129,460.16 is: 194,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,652.48 : 394,101.76 = 129,460.16 : x
  2. Step 2: Convert to fraction form
    262,652.48/394,101.76 = 129,460.16/x
  3. Step 3: Cross multiply
    262,652.48x = 394,101.76 × 129,460.16
  4. Step 4: Simplify right side
    262,652.48x = 51,020,476,905.88
  5. Step 5: Solve for x
    x = 51,020,476,905.88/262,652.48
  6. Step 6: Final answer
    x = 194,250.89

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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.