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Finding the Fourth Proportional to 520,099.20, 780,148.80 and 146,122.20

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Solution

The fourth proportional to 520,099.20, 780,148.80 and 146,122.20 is: 219,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.20 : 780,148.80 = 146,122.20 : x
  2. Step 2: Convert to fraction form
    520,099.20/780,148.80 = 146,122.20/x
  3. Step 3: Cross multiply
    520,099.20x = 780,148.80 × 146,122.20
  4. Step 4: Simplify right side
    520,099.20x = 113,997,058,983.36
  5. Step 5: Solve for x
    x = 113,997,058,983.36/520,099.20
  6. Step 6: Final answer
    x = 219,183.30

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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.