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Finding the Fourth Proportional to 169,494, 233,072.28 and 147,099.12

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Solution

The fourth proportional to 169,494, 233,072.28 and 147,099.12 is: 202,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,494 : 233,072.28 = 147,099.12 : x
  2. Step 2: Convert to fraction form
    169,494/233,072.28 = 147,099.12/x
  3. Step 3: Cross multiply
    169,494x = 233,072.28 × 147,099.12
  4. Step 4: Simplify right side
    169,494x = 34,284,727,284.39
  5. Step 5: Solve for x
    x = 34,284,727,284.39/169,494
  6. Step 6: Final answer
    x = 202,276.94

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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.