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Finding the Fourth Proportional to 150,281.10, 225,063.87 and 86,967.84

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Solution

The fourth proportional to 150,281.10, 225,063.87 and 86,967.84 is: 130,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.10 : 225,063.87 = 86,967.84 : x
  2. Step 2: Convert to fraction form
    150,281.10/225,063.87 = 86,967.84/x
  3. Step 3: Cross multiply
    150,281.10x = 225,063.87 × 86,967.84
  4. Step 4: Simplify right side
    150,281.10x = 19,573,318,635.94
  5. Step 5: Solve for x
    x = 19,573,318,635.94/150,281.10
  6. Step 6: Final answer
    x = 130,244.71

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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.