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Finding the Fourth Proportional to 183,107.77, 274,705.31 and 76,432.40

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Solution

The fourth proportional to 183,107.77, 274,705.31 and 76,432.40 is: 114,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,107.77 : 274,705.31 = 76,432.40 : x
  2. Step 2: Convert to fraction form
    183,107.77/274,705.31 = 76,432.40/x
  3. Step 3: Cross multiply
    183,107.77x = 274,705.31 × 76,432.40
  4. Step 4: Simplify right side
    183,107.77x = 20,996,387,228.33
  5. Step 5: Solve for x
    x = 20,996,387,228.33/183,107.77
  6. Step 6: Final answer
    x = 114,666.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.