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Finding the Fourth Proportional to 200,465.69, 276,642.14 and 109,821.83

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Solution

The fourth proportional to 200,465.69, 276,642.14 and 109,821.83 is: 151,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465.69 : 276,642.14 = 109,821.83 : x
  2. Step 2: Convert to fraction form
    200,465.69/276,642.14 = 109,821.83/x
  3. Step 3: Cross multiply
    200,465.69x = 276,642.14 × 109,821.83
  4. Step 4: Simplify right side
    200,465.69x = 30,381,344,137.60
  5. Step 5: Solve for x
    x = 30,381,344,137.60/200,465.69
  6. Step 6: Final answer
    x = 151,553.84

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1.5x scale

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.