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Finding the Fourth Proportional to 150,101.91, 225,152.82 and 56,585.79

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Solution

The fourth proportional to 150,101.91, 225,152.82 and 56,585.79 is: 84,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,101.91 : 225,152.82 = 56,585.79 : x
  2. Step 2: Convert to fraction form
    150,101.91/225,152.82 = 56,585.79/x
  3. Step 3: Cross multiply
    150,101.91x = 225,152.82 × 56,585.79
  4. Step 4: Simplify right side
    150,101.91x = 12,740,450,190.43
  5. Step 5: Solve for x
    x = 12,740,450,190.43/150,101.91
  6. Step 6: Final answer
    x = 84,878.67

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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.