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Finding the Fourth Proportional to 506,146.56, 759,219.96 and 132,166.32

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Solution

The fourth proportional to 506,146.56, 759,219.96 and 132,166.32 is: 198,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,146.56 : 759,219.96 = 132,166.32 : x
  2. Step 2: Convert to fraction form
    506,146.56/759,219.96 = 132,166.32/x
  3. Step 3: Cross multiply
    506,146.56x = 759,219.96 × 132,166.32
  4. Step 4: Simplify right side
    506,146.56x = 100,343,308,183.75
  5. Step 5: Solve for x
    x = 100,343,308,183.75/506,146.56
  6. Step 6: Final answer
    x = 198,249.51

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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.