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Finding the Fourth Proportional to 421,570.50, 632,309.18 and 106,027.53

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Solution

The fourth proportional to 421,570.50, 632,309.18 and 106,027.53 is: 159,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,570.50 : 632,309.18 = 106,027.53 : x
  2. Step 2: Convert to fraction form
    421,570.50/632,309.18 = 106,027.53/x
  3. Step 3: Cross multiply
    421,570.50x = 632,309.18 × 106,027.53
  4. Step 4: Simplify right side
    421,570.50x = 67,042,180,021.59
  5. Step 5: Solve for x
    x = 67,042,180,021.59/421,570.50
  6. Step 6: Final answer
    x = 159,029.58

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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.