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Finding the Fourth Proportional to 183,082.20, 274,739.94 and 77,901

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Solution

The fourth proportional to 183,082.20, 274,739.94 and 77,901 is: 116,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,082.20 : 274,739.94 = 77,901 : x
  2. Step 2: Convert to fraction form
    183,082.20/274,739.94 = 77,901/x
  3. Step 3: Cross multiply
    183,082.20x = 274,739.94 × 77,901
  4. Step 4: Simplify right side
    183,082.20x = 21,402,516,065.94
  5. Step 5: Solve for x
    x = 21,402,516,065.94/183,082.20
  6. Step 6: Final answer
    x = 116,901.13

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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.