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Finding the Fourth Proportional to 200,604.32, 276,823.68 and 115,716.32

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Solution

The fourth proportional to 200,604.32, 276,823.68 and 115,716.32 is: 159,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,604.32 : 276,823.68 = 115,716.32 : x
  2. Step 2: Convert to fraction form
    200,604.32/276,823.68 = 115,716.32/x
  3. Step 3: Cross multiply
    200,604.32x = 276,823.68 × 115,716.32
  4. Step 4: Simplify right side
    200,604.32x = 32,033,017,538.46
  5. Step 5: Solve for x
    x = 32,033,017,538.46/200,604.32
  6. Step 6: Final answer
    x = 159,682.59

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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.