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Finding the Fourth Proportional to 102,022.30, 152,884.05 and 91,492.30

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Solution

The fourth proportional to 102,022.30, 152,884.05 and 91,492.30 is: 137,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.30 : 152,884.05 = 91,492.30 : x
  2. Step 2: Convert to fraction form
    102,022.30/152,884.05 = 91,492.30/x
  3. Step 3: Cross multiply
    102,022.30x = 152,884.05 × 91,492.30
  4. Step 4: Simplify right side
    102,022.30x = 13,987,713,367.82
  5. Step 5: Solve for x
    x = 13,987,713,367.82/102,022.30
  6. Step 6: Final answer
    x = 137,104.47

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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.