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Finding the Fourth Proportional to 183,223.16, 274,838.54 and 50,102.60

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Solution

The fourth proportional to 183,223.16, 274,838.54 and 50,102.60 is: 75,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,223.16 : 274,838.54 = 50,102.60 : x
  2. Step 2: Convert to fraction form
    183,223.16/274,838.54 = 50,102.60/x
  3. Step 3: Cross multiply
    183,223.16x = 274,838.54 × 50,102.60
  4. Step 4: Simplify right side
    183,223.16x = 13,770,123,809.50
  5. Step 5: Solve for x
    x = 13,770,123,809.50/183,223.16
  6. Step 6: Final answer
    x = 75,154.93

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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.