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Finding the Fourth Proportional to 308,059.84, 461,892.01 and 128,269.81

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Solution

The fourth proportional to 308,059.84, 461,892.01 and 128,269.81 is: 192,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,059.84 : 461,892.01 = 128,269.81 : x
  2. Step 2: Convert to fraction form
    308,059.84/461,892.01 = 128,269.81/x
  3. Step 3: Cross multiply
    308,059.84x = 461,892.01 × 128,269.81
  4. Step 4: Simplify right side
    308,059.84x = 59,246,800,363.22
  5. Step 5: Solve for x
    x = 59,246,800,363.22/308,059.84
  6. Step 6: Final answer
    x = 192,322.38

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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.