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Finding the Fourth Proportional to 421,651.50, 632,477.24 and 122,132.17

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Solution

The fourth proportional to 421,651.50, 632,477.24 and 122,132.17 is: 183,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,651.50 : 632,477.24 = 122,132.17 : x
  2. Step 2: Convert to fraction form
    421,651.50/632,477.24 = 122,132.17/x
  3. Step 3: Cross multiply
    421,651.50x = 632,477.24 × 122,132.17
  4. Step 4: Simplify right side
    421,651.50x = 77,245,817,796.81
  5. Step 5: Solve for x
    x = 77,245,817,796.81/421,651.50
  6. Step 6: Final answer
    x = 183,198.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.