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Finding the Fourth Proportional to 106,814.40, 160,221.60 and 89,901.60

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Solution

The fourth proportional to 106,814.40, 160,221.60 and 89,901.60 is: 134,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.40 : 160,221.60 = 89,901.60 : x
  2. Step 2: Convert to fraction form
    106,814.40/160,221.60 = 89,901.60/x
  3. Step 3: Cross multiply
    106,814.40x = 160,221.60 × 89,901.60
  4. Step 4: Simplify right side
    106,814.40x = 14,404,178,194.56
  5. Step 5: Solve for x
    x = 14,404,178,194.56/106,814.40
  6. Step 6: Final answer
    x = 134,852.40

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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.