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Finding the Fourth Proportional to 200,311.77, 276,433.53 and 109,666.23

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Solution

The fourth proportional to 200,311.77, 276,433.53 and 109,666.23 is: 151,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,311.77 : 276,433.53 = 109,666.23 : x
  2. Step 2: Convert to fraction form
    200,311.77/276,433.53 = 109,666.23/x
  3. Step 3: Cross multiply
    200,311.77x = 276,433.53 × 109,666.23
  4. Step 4: Simplify right side
    200,311.77x = 30,315,423,080.69
  5. Step 5: Solve for x
    x = 30,315,423,080.69/200,311.77
  6. Step 6: Final answer
    x = 151,341.20

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