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Finding the Fourth Proportional to 146,467, 201,928.98 and 116,352.28

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Solution

The fourth proportional to 146,467, 201,928.98 and 116,352.28 is: 160,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,467 : 201,928.98 = 116,352.28 : x
  2. Step 2: Convert to fraction form
    146,467/201,928.98 = 116,352.28/x
  3. Step 3: Cross multiply
    146,467x = 201,928.98 × 116,352.28
  4. Step 4: Simplify right side
    146,467x = 23,494,897,221.07
  5. Step 5: Solve for x
    x = 23,494,897,221.07/146,467
  6. Step 6: Final answer
    x = 160,410.86

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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.