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Finding the Fourth Proportional to 192,969.76, 266,428.22 and 120,483.01

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Solution

The fourth proportional to 192,969.76, 266,428.22 and 120,483.01 is: 166,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,969.76 : 266,428.22 = 120,483.01 : x
  2. Step 2: Convert to fraction form
    192,969.76/266,428.22 = 120,483.01/x
  3. Step 3: Cross multiply
    192,969.76x = 266,428.22 × 120,483.01
  4. Step 4: Simplify right side
    192,969.76x = 32,100,073,894.54
  5. Step 5: Solve for x
    x = 32,100,073,894.54/192,969.76
  6. Step 6: Final answer
    x = 166,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.