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Finding the Fourth Proportional to 183,184.68, 274,310.46 and 89,445

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Solution

The fourth proportional to 183,184.68, 274,310.46 and 89,445 is: 133,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,184.68 : 274,310.46 = 89,445 : x
  2. Step 2: Convert to fraction form
    183,184.68/274,310.46 = 89,445/x
  3. Step 3: Cross multiply
    183,184.68x = 274,310.46 × 89,445
  4. Step 4: Simplify right side
    183,184.68x = 24,535,699,094.70
  5. Step 5: Solve for x
    x = 24,535,699,094.70/183,184.68
  6. Step 6: Final answer
    x = 133,939.69

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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.