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Finding the Fourth Proportional to 159,183.50, 238,724.69 and 52,547.67

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Solution

The fourth proportional to 159,183.50, 238,724.69 and 52,547.67 is: 78,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,183.50 : 238,724.69 = 52,547.67 : x
  2. Step 2: Convert to fraction form
    159,183.50/238,724.69 = 52,547.67/x
  3. Step 3: Cross multiply
    159,183.50x = 238,724.69 × 52,547.67
  4. Step 4: Simplify right side
    159,183.50x = 12,544,425,968.23
  5. Step 5: Solve for x
    x = 12,544,425,968.23/159,183.50
  6. Step 6: Final answer
    x = 78,804.82

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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.