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Finding the Fourth Proportional to 183,283.70, 274,839.26 and 71,016.50

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Solution

The fourth proportional to 183,283.70, 274,839.26 and 71,016.50 is: 106,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,283.70 : 274,839.26 = 71,016.50 : x
  2. Step 2: Convert to fraction form
    183,283.70/274,839.26 = 71,016.50/x
  3. Step 3: Cross multiply
    183,283.70x = 274,839.26 × 71,016.50
  4. Step 4: Simplify right side
    183,283.70x = 19,518,122,307.79
  5. Step 5: Solve for x
    x = 19,518,122,307.79/183,283.70
  6. Step 6: Final answer
    x = 106,491.32

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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.