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Finding the Fourth Proportional to 102,669.36, 141,354.36 and 89,415.60

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Solution

The fourth proportional to 102,669.36, 141,354.36 and 89,415.60 is: 123,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,669.36 : 141,354.36 = 89,415.60 : x
  2. Step 2: Convert to fraction form
    102,669.36/141,354.36 = 89,415.60/x
  3. Step 3: Cross multiply
    102,669.36x = 141,354.36 × 89,415.60
  4. Step 4: Simplify right side
    102,669.36x = 12,639,284,912.02
  5. Step 5: Solve for x
    x = 12,639,284,912.02/102,669.36
  6. Step 6: Final answer
    x = 123,106.69

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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.