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Finding the Fourth Proportional to 303,186, 418,391 and 167,232.64

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Solution

The fourth proportional to 303,186, 418,391 and 167,232.64 is: 230,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,186 : 418,391 = 167,232.64 : x
  2. Step 2: Convert to fraction form
    303,186/418,391 = 167,232.64/x
  3. Step 3: Cross multiply
    303,186x = 418,391 × 167,232.64
  4. Step 4: Simplify right side
    303,186x = 69,968,631,482.24
  5. Step 5: Solve for x
    x = 69,968,631,482.24/303,186
  6. Step 6: Final answer
    x = 230,777.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.