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Finding the Fourth Proportional to 177,210, 265,778.72 and 50,816.38

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Solution

The fourth proportional to 177,210, 265,778.72 and 50,816.38 is: 76,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,210 : 265,778.72 = 50,816.38 : x
  2. Step 2: Convert to fraction form
    177,210/265,778.72 = 50,816.38/x
  3. Step 3: Cross multiply
    177,210x = 265,778.72 × 50,816.38
  4. Step 4: Simplify right side
    177,210x = 13,505,912,431.43
  5. Step 5: Solve for x
    x = 13,505,912,431.43/177,210
  6. Step 6: Final answer
    x = 76,214.17

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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.