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Finding the Fourth Proportional to 183,113.87, 274,563.87 and 77,878.67

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Solution

The fourth proportional to 183,113.87, 274,563.87 and 77,878.67 is: 116,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,113.87 : 274,563.87 = 77,878.67 : x
  2. Step 2: Convert to fraction form
    183,113.87/274,563.87 = 77,878.67/x
  3. Step 3: Cross multiply
    183,113.87x = 274,563.87 × 77,878.67
  4. Step 4: Simplify right side
    183,113.87x = 21,382,669,025.65
  5. Step 5: Solve for x
    x = 21,382,669,025.65/183,113.87
  6. Step 6: Final answer
    x = 116,772.53

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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.