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Finding the Fourth Proportional to 281,134.98, 421,710.54 and 110,349.59

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Solution

The fourth proportional to 281,134.98, 421,710.54 and 110,349.59 is: 165,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,134.98 : 421,710.54 = 110,349.59 : x
  2. Step 2: Convert to fraction form
    281,134.98/421,710.54 = 110,349.59/x
  3. Step 3: Cross multiply
    281,134.98x = 421,710.54 × 110,349.59
  4. Step 4: Simplify right side
    281,134.98x = 46,535,585,187.68
  5. Step 5: Solve for x
    x = 46,535,585,187.68/281,134.98
  6. Step 6: Final answer
    x = 165,527.55

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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.