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Finding the Fourth Proportional to 183,280.56, 274,674.60 and 78,071.28

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Solution

The fourth proportional to 183,280.56, 274,674.60 and 78,071.28 is: 117,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,280.56 : 274,674.60 = 78,071.28 : x
  2. Step 2: Convert to fraction form
    183,280.56/274,674.60 = 78,071.28/x
  3. Step 3: Cross multiply
    183,280.56x = 274,674.60 × 78,071.28
  4. Step 4: Simplify right side
    183,280.56x = 21,444,197,605.49
  5. Step 5: Solve for x
    x = 21,444,197,605.49/183,280.56
  6. Step 6: Final answer
    x = 117,002.03

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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.