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Finding the Fourth Proportional to 421,569, 632,306.93 and 106,026.03

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Solution

The fourth proportional to 421,569, 632,306.93 and 106,026.03 is: 159,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,569 : 632,306.93 = 106,026.03 : x
  2. Step 2: Convert to fraction form
    421,569/632,306.93 = 106,026.03/x
  3. Step 3: Cross multiply
    421,569x = 632,306.93 × 106,026.03
  4. Step 4: Simplify right side
    421,569x = 67,040,992,999.26
  5. Step 5: Solve for x
    x = 67,040,992,999.26/421,569
  6. Step 6: Final answer
    x = 159,027.33

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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.