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Finding the Fourth Proportional to 183,435.72, 274,916.69 and 82,159.76

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Solution

The fourth proportional to 183,435.72, 274,916.69 and 82,159.76 is: 123,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,435.72 : 274,916.69 = 82,159.76 : x
  2. Step 2: Convert to fraction form
    183,435.72/274,916.69 = 82,159.76/x
  3. Step 3: Cross multiply
    183,435.72x = 274,916.69 × 82,159.76
  4. Step 4: Simplify right side
    183,435.72x = 22,587,087,485.01
  5. Step 5: Solve for x
    x = 22,587,087,485.01/183,435.72
  6. Step 6: Final answer
    x = 123,133.53

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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.