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Finding the Fourth Proportional to 183,829.81, 275,768.22 and 65,513.11

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Solution

The fourth proportional to 183,829.81, 275,768.22 and 65,513.11 is: 98,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829.81 : 275,768.22 = 65,513.11 : x
  2. Step 2: Convert to fraction form
    183,829.81/275,768.22 = 65,513.11/x
  3. Step 3: Cross multiply
    183,829.81x = 275,768.22 × 65,513.11
  4. Step 4: Simplify right side
    183,829.81x = 18,066,433,731.36
  5. Step 5: Solve for x
    x = 18,066,433,731.36/183,829.81
  6. Step 6: Final answer
    x = 98,278.04

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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.