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Finding the Fourth Proportional to 345,134.76, 476,298.56 and 192,180.84

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Solution

The fourth proportional to 345,134.76, 476,298.56 and 192,180.84 is: 265,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,134.76 : 476,298.56 = 192,180.84 : x
  2. Step 2: Convert to fraction form
    345,134.76/476,298.56 = 192,180.84/x
  3. Step 3: Cross multiply
    345,134.76x = 476,298.56 × 192,180.84
  4. Step 4: Simplify right side
    345,134.76x = 91,535,457,351.59
  5. Step 5: Solve for x
    x = 91,535,457,351.59/345,134.76
  6. Step 6: Final answer
    x = 265,216.57

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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.