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Finding the Fourth Proportional to 262,011.10, 392,736.32 and 135,523.98

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Solution

The fourth proportional to 262,011.10, 392,736.32 and 135,523.98 is: 203,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,011.10 : 392,736.32 = 135,523.98 : x
  2. Step 2: Convert to fraction form
    262,011.10/392,736.32 = 135,523.98/x
  3. Step 3: Cross multiply
    262,011.10x = 392,736.32 × 135,523.98
  4. Step 4: Simplify right side
    262,011.10x = 53,225,189,176.95
  5. Step 5: Solve for x
    x = 53,225,189,176.95/262,011.10
  6. Step 6: Final answer
    x = 203,140.97

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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.