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Finding the Fourth Proportional to 200,228.32, 276,311.28 and 110,804.32

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Solution

The fourth proportional to 200,228.32, 276,311.28 and 110,804.32 is: 152,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,228.32 : 276,311.28 = 110,804.32 : x
  2. Step 2: Convert to fraction form
    200,228.32/276,311.28 = 110,804.32/x
  3. Step 3: Cross multiply
    200,228.32x = 276,311.28 × 110,804.32
  4. Step 4: Simplify right side
    200,228.32x = 30,616,483,488.73
  5. Step 5: Solve for x
    x = 30,616,483,488.73/200,228.32
  6. Step 6: Final answer
    x = 152,907.86

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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.