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Finding the Fourth Proportional to 150,626, 225,973.72 and 52,130

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Solution

The fourth proportional to 150,626, 225,973.72 and 52,130 is: 78,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,626 : 225,973.72 = 52,130 : x
  2. Step 2: Convert to fraction form
    150,626/225,973.72 = 52,130/x
  3. Step 3: Cross multiply
    150,626x = 225,973.72 × 52,130
  4. Step 4: Simplify right side
    150,626x = 11,780,010,023.60
  5. Step 5: Solve for x
    x = 11,780,010,023.60/150,626
  6. Step 6: Final answer
    x = 78,207.02

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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.