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Finding the Fourth Proportional to 135,092.88, 202,334.76 and 65,024.64

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Solution

The fourth proportional to 135,092.88, 202,334.76 and 65,024.64 is: 97,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,092.88 : 202,334.76 = 65,024.64 : x
  2. Step 2: Convert to fraction form
    135,092.88/202,334.76 = 65,024.64/x
  3. Step 3: Cross multiply
    135,092.88x = 202,334.76 × 65,024.64
  4. Step 4: Simplify right side
    135,092.88x = 13,156,744,928.49
  5. Step 5: Solve for x
    x = 13,156,744,928.49/135,092.88
  6. Step 6: Final answer
    x = 97,390.37

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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.