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Finding the Fourth Proportional to 354,535.94, 531,722.78 and 101,814.42

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Solution

The fourth proportional to 354,535.94, 531,722.78 and 101,814.42 is: 152,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,535.94 : 531,722.78 = 101,814.42 : x
  2. Step 2: Convert to fraction form
    354,535.94/531,722.78 = 101,814.42/x
  3. Step 3: Cross multiply
    354,535.94x = 531,722.78 × 101,814.42
  4. Step 4: Simplify right side
    354,535.94x = 54,137,046,446.49
  5. Step 5: Solve for x
    x = 54,137,046,446.49/354,535.94
  6. Step 6: Final answer
    x = 152,698.33

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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.