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Finding the Fourth Proportional to 268,592.94, 402,935.31 and 110,735.10

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Solution

The fourth proportional to 268,592.94, 402,935.31 and 110,735.10 is: 166,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,592.94 : 402,935.31 = 110,735.10 : x
  2. Step 2: Convert to fraction form
    268,592.94/402,935.31 = 110,735.10/x
  3. Step 3: Cross multiply
    268,592.94x = 402,935.31 × 110,735.10
  4. Step 4: Simplify right side
    268,592.94x = 44,619,081,846.38
  5. Step 5: Solve for x
    x = 44,619,081,846.38/268,592.94
  6. Step 6: Final answer
    x = 166,121.57

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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.