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Finding the Fourth Proportional to 264,713.76, 397,119.84 and 87,233.24

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Solution

The fourth proportional to 264,713.76, 397,119.84 and 87,233.24 is: 130,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,713.76 : 397,119.84 = 87,233.24 : x
  2. Step 2: Convert to fraction form
    264,713.76/397,119.84 = 87,233.24/x
  3. Step 3: Cross multiply
    264,713.76x = 397,119.84 × 87,233.24
  4. Step 4: Simplify right side
    264,713.76x = 34,642,050,311.48
  5. Step 5: Solve for x
    x = 34,642,050,311.48/264,713.76
  6. Step 6: Final answer
    x = 130,866.07

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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.