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Finding the Fourth Proportional to 164,438.40, 226,874.88 and 113,468.16

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Solution

The fourth proportional to 164,438.40, 226,874.88 and 113,468.16 is: 156,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,438.40 : 226,874.88 = 113,468.16 : x
  2. Step 2: Convert to fraction form
    164,438.40/226,874.88 = 113,468.16/x
  3. Step 3: Cross multiply
    164,438.40x = 226,874.88 × 113,468.16
  4. Step 4: Simplify right side
    164,438.40x = 25,743,075,183.82
  5. Step 5: Solve for x
    x = 25,743,075,183.82/164,438.40
  6. Step 6: Final answer
    x = 156,551.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.