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Finding the Fourth Proportional to 262,144.49, 392,370.95 and 135,610.49

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Solution

The fourth proportional to 262,144.49, 392,370.95 and 135,610.49 is: 202,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,144.49 : 392,370.95 = 135,610.49 : x
  2. Step 2: Convert to fraction form
    262,144.49/392,370.95 = 135,610.49/x
  3. Step 3: Cross multiply
    262,144.49x = 392,370.95 × 135,610.49
  4. Step 4: Simplify right side
    262,144.49x = 53,209,615,168.44
  5. Step 5: Solve for x
    x = 53,209,615,168.44/262,144.49
  6. Step 6: Final answer
    x = 202,978.20

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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.