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Finding the Fourth Proportional to 303,156, 418,349.61 and 167,202.63

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Solution

The fourth proportional to 303,156, 418,349.61 and 167,202.63 is: 230,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,156 : 418,349.61 = 167,202.63 : x
  2. Step 2: Convert to fraction form
    303,156/418,349.61 = 167,202.63/x
  3. Step 3: Cross multiply
    303,156x = 418,349.61 × 167,202.63
  4. Step 4: Simplify right side
    303,156x = 69,949,155,051.47
  5. Step 5: Solve for x
    x = 69,949,155,051.47/303,156
  6. Step 6: Final answer
    x = 230,736.50

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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.