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Finding the Fourth Proportional to 354,527.96, 531,791.66 and 105,209.96

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Solution

The fourth proportional to 354,527.96, 531,791.66 and 105,209.96 is: 157,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,527.96 : 531,791.66 = 105,209.96 : x
  2. Step 2: Convert to fraction form
    354,527.96/531,791.66 = 105,209.96/x
  3. Step 3: Cross multiply
    354,527.96x = 531,791.66 × 105,209.96
  4. Step 4: Simplify right side
    354,527.96x = 55,949,776,881.00
  5. Step 5: Solve for x
    x = 55,949,776,881.00/354,527.96
  6. Step 6: Final answer
    x = 157,814.85

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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.