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Finding the Fourth Proportional to 183,201.71, 274,849.04 and 76,567.24

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Solution

The fourth proportional to 183,201.71, 274,849.04 and 76,567.24 is: 114,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,201.71 : 274,849.04 = 76,567.24 : x
  2. Step 2: Convert to fraction form
    183,201.71/274,849.04 = 76,567.24/x
  3. Step 3: Cross multiply
    183,201.71x = 274,849.04 × 76,567.24
  4. Step 4: Simplify right side
    183,201.71x = 21,044,432,409.45
  5. Step 5: Solve for x
    x = 21,044,432,409.45/183,201.71
  6. Step 6: Final answer
    x = 114,870.28

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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.