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Finding the Fourth Proportional to 456,202.92, 684,342.66 and 168,093

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Solution

The fourth proportional to 456,202.92, 684,342.66 and 168,093 is: 252,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,202.92 : 684,342.66 = 168,093 : x
  2. Step 2: Convert to fraction form
    456,202.92/684,342.66 = 168,093/x
  3. Step 3: Cross multiply
    456,202.92x = 684,342.66 × 168,093
  4. Step 4: Simplify right side
    456,202.92x = 115,033,210,747.38
  5. Step 5: Solve for x
    x = 115,033,210,747.38/456,202.92
  6. Step 6: Final answer
    x = 252,153.60

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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.